Answer:
x = 4/5 is the one x value that is not permitted. The domain of (fog)(x) is
(-infinity, 4/5) ∪ (4/5, infinity)
Step-by-step explanation:
(fog)(x) is the "composition" of f and g. We start with f(x) and replace x with g(x), which is 5x - 4:
3
f(x) = x - ------- becomes
x
3
f(5x - 4) = [5x - 4] - ------------
[5x - 4]
To identify the domain, consider the value or values of x for which the denominator shown above is zero: 5x - 4 = 0, or 5x = 4, or x = 4/5
The domain of the composite function (f·g)(x) in interval notation is (-∞,0)∪(0,∞).
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.
The given functions are f(x)= x-3/x and g(X)=5x-4.
Now, (f·g)(x)=f(x)×g(x)
= (x-3/x)(5x-4)
(f·g)(x)= 5x²-15-4x+12/x
Find the domain by finding where the expression is defined.
Interval Notation: (-∞,0)∪(0,∞)
Set-Builder Notation:{x|x≠0}
Therefore, the domain of the composite function (f·g)(x) in interval notation is (-∞,0)∪(0,∞).
To learn more about the domain and range visit:
brainly.com/question/28135761.
#SPJ7
John measured two pieces of string. One piece measured 7/12 m and the other measured 4/7 m.
Select the true statement about the lengths of John's string.
1) 7/12= 0.58, 4/7= 0.57
they are about 1/2
2) 7/12 + 4/7 = 97/84= 1.15 approximately 1
which is 1m from the option
cant figure it out. pls help
[tex]\longrightarrow{\green{x\:=\:6}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➝[tex] \:\frac{3x + 2}{4} = \frac{x + 4}{2} [/tex]
➝[tex] \: 2(3x + 2) = 4(x + 4)[/tex]
➝[tex] \: 6x + 4 = 4x + 16[/tex]
➝[tex] \: 6x - 4x = 16 - 4[/tex]
➝[tex]\:2x = 12[/tex]
➝[tex] \: x = \frac{12}{2} [/tex]
➝[tex] \: x = 6[/tex]
Therefore, the value of [tex]x[/tex] is 6.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
➪ [tex] \: \frac{3x + 2}{4} = \frac{x + 4}{2} [/tex]
➪ [tex] \:\frac{3 \times 6 + 2}{4} = \frac{6 + 4}{2} [/tex]
➪ [tex] \:\frac{18 + 2}{4} = \frac{10}{2} [/tex]
➪ [tex] \:\frac{20}{4} = 5[/tex]
➪ [tex] \: 5 = 5[/tex]
➪ [tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{❦}}}}}[/tex]
3p²q - 6pq² help me please .
3p²q - 6 pq²
3pq (p - 2q )
I think this is the solution
What is the inverse of the statement below?
x →y
A. -X
B. y = x
C. y = x
O D. -x=y
Help plz
Answer:
d -x=y the awnssr may not be correct but I tried so
add 8/9 + 7/9 Simplify the answer and write as a mixed number.
Answer:
[tex]1\frac{6}{9}[/tex]
Step-by-step explanation:
[tex]\frac{8}{9}+\frac{7}{9}[/tex]
[tex]\frac{8+7}{9}=\frac{15}{9}=1\frac{6}{9}[/tex]
In a game for 24 groups, the average number of children was 16. When one more group of children was formed to join in the game, the average number of children became 18. The number of boys to girls who had just joined in the game was in the ratio 5:6. If there were 220 boys at first, how many more boys than girls were in the end?
Answer:
50 boys
Step-by-step explanation:
The number of groups = 24
The average number of children = 16
The new average number of children when one group is added = 18
The ratio of boys to girls in the group that just joined = 5:6
The initial number of boys = 220
Let the initial number of children
The initial total number of children = 24 × 16 = 384
The initial number of girls = 384 - 220 = 164
The final number of children = 25 × 18 = 450
The number of children in the group that joined in the game = 450 - 384 = 66
The ratio of boys to girls in the group = 5:6
Therefore, we get;
The number of boys = 66 × 5/11 = 30
The number of girls = 66 - 30 = 36
The number of boys at the end = 220 + 30 = 250
The number of girls at the end = 164 + 36 = 200
The number of more boys than girls at the end = 250 - 200 = 50
The number of more boys than girls at the end = 50 boys
Complete the expanded form of this number.
62,719
Enter numbers from greatest to least place value starting on the left.
6,0000 + 2,000 + 700 + 10 + 9
(2x–y)²–(y+2)²-----------
Answer:
4x² -4xy -4y -4
Step-by-step explanation:
[tex]\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]
In this case, a= 2x -y and b= y +2.
(2x -y)² -(y +2)²
= (2x -y +y +2)[2x -y -(y +2)]
= (2x +2)(2x -y -y -2)
= (2x +2)(2x -2y -2)
= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) (expand)
= 4x² -4xy -4x +4x -4y -4
= 4x² -4xy -4y -4
Alternatively, start by expanding the brackets.
[tex]\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }[/tex]
[tex]\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }[/tex]
(2x -y)² -(y +2)²
= 4x² -4xy +y² -(y² +4y +4)
= 4x² -4xy +y² -y² -4y -4 (expand)
= 4x² -4xy -4y -4 (simplify)
Evaluate the expression using the Commutative and Associative properties of numbers.
Name the property used in each step.
13 + 23 + 12 + 7
Given:
The expression is:
[tex]13+23+12+7[/tex]
To find:
The value of the given expression by using Commutative and Associative properties of numbers.
Solution:
We have,
[tex]13+23+12+7[/tex]
Applying parenthesis and brackets, we get
[tex]=[13+(23+12)]+7[/tex]
[tex]=[13+(12+23)]+7[/tex] [Commutative properties of numbers]
[tex]=[(13+12)+23]+7[/tex] [Associative properties of numbers]
[tex]=(25+23)+7[/tex]
Using Associative properties of numbers, we get
[tex]=25+(23+7)[/tex] [Associative properties of numbers]
[tex]=25+30[/tex]
[tex]=55[/tex]
Therefore, the value of the given expression 55.
Please help me ASAP
Answer:
no
Step-by-step explanation:
no
The length of a rectangle is 5m longer than the width. The perimeter of the rectangle is 82m. Find the length and the width of the rectangle. *
Answer:
+ 5 = length 2x + 2(x + 5) = 38
ifthe radius of a cylinder is 4cm and height is 10cm, then the total surface area
Answer:
SA = 112π cm²
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
r = 4 cm
h = 10 cm
Step 2: Find Surface Area
Substitute in variables [Surface Area of a Cylinder Formula]: SA = 2π(4 cm)(10 cm) + 2π(4 cm)²Evaluate exponents: SA = 2π(4 cm)(10 cm) + 2π(16 cm²)Multiply: SA = 80π cm² + 32π cm²Add: SA = 112π cm²Here is a pattern made from sticks:
a)
How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?
Help needed I can’t figure this out.
Answer:
maybe like 12
Step-by-step explanation:
I would think 12 because because it is 2 of the square so I think 6 + 6 correct me of I'm wrong.
ANSWER IS C
Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?
1.) A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the left.
2.) A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the right.
3.) A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the left.
4.) A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the right.
Answer:
x <2
Step-by-step explanation:
2.5 – 1.2x < 6.5 – 3.2x
Add 3.2x to each side
2.5 – 1.2x+3.2x < 6.5 – 3.2x+3.2x
2.5 +2x < 6.5
Subtract 2.5 from each side
2.5+2x-2.5<6.5-2.5
2x<4
Divide by 2
2x/2 < 4/2
x <2
What is the answer to this division question?
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
4 1/5 ÷ 3/5
Change to improper fractions
4 1/5 = ( 5*4+1) /5 = 21/5
21/5 ÷ 3/5
Copy dot flip
21/ 5 * 5/3
Rewriting
21/ * 5/5
7 * 1
7
PLEASE HELP DUE TOMORROW
you dont need the other part its just the same question but different
Answer:
for the firt one the patters is +6 +7 +8 +9
Step-by-step explanation:
please help me which of the following is the quotient of the rational expressions shown below
Answer is C
✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔
please help ? i do not understand this question--
Answer:
hey, i think it's the first alternative
Step-by-step explanation:
Tami spins a spinner with 7 sections. The sections are numbered 1 through 7 and all sections are the same size
Answer:
1 / 7
Step-by-step explanation:
Number of sections on spinner = 7
Section is numbered 1 to 7
Since the probability of landing on each section is the same:
Probability that spinner lands on 4 :
Probability, p = Required outcome / Total possible outcomes
Required outcome = landing on 4 = 1
Total possible outcomes = (1 to 7) = 7
P(landing on 4) = 1 /7
Find the value of x in the isosceles triangle shown below.
Answer:
x = [tex]\sqrt{26}[/tex]
Step-by-step explanation:
using pythagoras theorem
here [tex]\sqrt{13}[/tex] and [tex]\sqrt{13}[/tex] are the legs of the right angled triangle and x is hypotenuse.
a^2 + b^2 = c^2
[tex](\sqrt{ 13 })^2 + (\sqrt{13})^2 = x^2[/tex]
13 + 13 = x^2
26 = x^2
[tex]\sqrt{26}[/tex] = x
Answer:
answer would be c
Step-by-step explanation:
hope this helps
Al lanzar un dado dos veces consecutivas. ¿Qué probabilidad hay de obtener primero un 3 y luego un numero par?
Answer:
The probability is 1/12.
Step-by-step explanation:
Number of elements in sample space is 6 . Even numbers are 2, 4 and 6 so the there are 3 three even numbers.
So, the probability of getting 3 on the first chance and then an even number in the second chance is
[tex]P = \frac{1}{6}\times \frac{3}{6}\\\\P = \frac{1}{12}[/tex]
Which of the following is an equation of the line that passes through the point (1, 1) and has a slope of 2?
Answer:
You didn't provide " the following" from which to choose.
Here are two solutions
y = 2x - 1
y - 1 = 2(x - 1)
There are five peanut brittle to every two chocolate if there is a box of 28 sweets how many cholocate are there
Answer:
8 chocolates
Step-by-step explanation:
im not really good at math and didnt use an equation but if you add 5 and 2 together until 28 and then count up how many 2's you added, you should get the answer! sorry if this isnt helpful <3
A factory employs 200 men and 50 women. 80 of the men are each paid $100, the rest are paid $80 and the women are paid $50, what is the total wage bill.
Help
Will
Give
BRIANLIST
Answer
if i made 11$ an hour working at publix how much would i have in 4 year's?
i need to know because me and my friend plan to work at publix as soon as we turn 14 and in 4 year's when we turn 18 we want to have enough to move into an apartment/house right away
Answer:
40*52*11*4 = $91,520
But I am skeptical that you would earn dollars where you would be working... I assume that you do not work in the is because 11 dollars per hour is written at $11/hr not 11$ /hr, thus I assume that you do not live anywhere that pays in U.S. dollars.
Step-by-step explanation:
Answer: $385440 if you work non stop, for every hour of those 4 years
Step-by-step explanation: 24 hours in a day, 24*365=8760
8760*4=35040 total hours.
Now if we multiply that by 11, because you get 11 dollars an hour,
35040*11= $385440 in total
But that's not counting items you may buy, and it also assumes you work every hour of every day. If you want a more realistic amount, you're gonna have to specify the hours that you work.
Find the direct variation equation
Answers:
The direct variation equation is y = 5xIf x = 4, then y = 20=================================================
Explanation:
Let's say that the letter k replaces the green box
We have the equation y = kx
Plug in (x,y) = (7,35) to get the equation 35 = k*7
Dividing both sides by 7 leads to k = 5
Therefore, the direct variation equation is y = 5x
We can check this by plugging in x = 7
y = 5x
y = 5*7
y = 35
So x = 7 leads to y = 35 as expected.
-------------
Do the same for x = 4
y = 5x
y = 5*4
y = 20 when x = 4
Side note: direct variation equations always go through the origin.
Answer:
20
Step-by-step explanation:
if y varies directly with x, then it takes the form y=mx
to find m, substitute in the values of x and y to get 35=m*7 and simplify to get that m=5
then the equation becomes y=5x
substitute in the value they gave for x which is 4 to get y=5*4
to get that y=20
Please help me ASAP
Answer:
4. =3 ft
5. 2/1.25 lb
Answer:
4) 3 ft = 36in ⇔ [tex]\frac{36in}{12in}[/tex] = 3 inches
5) 2 lb = 32 oz ⇔ [tex]\frac{32oz}{20oz}[/tex] = 1.6 oz
Which is greater than 4?(show work)
(a) 5,
(b) -5,
(c) -1/2,
(d) -25.
Answer:
Letter A) 5
Step-by-step explanation:
all the other answers are negative so they are less than 4.
5 comes after 4 so 5 is greater than 4.
Hope this is helpful
Which of the following statements is false? PLEASE HELP ASAP!
Answer:
C
Step-by-step explanation:
