Answers
============================================================
Explanation:
g(x) is the inverse of f(x), which tells us that g undoes everything f(x) does.
If we input x = -6 then f(x) outputs 1
g(x) then reverses this to say that g(1) = -6. The inputs and outputs swap roles.
Moving to row 2, we see that f(-3) = 2 which reverses to g(2) = -3
We'll replace the g(2) with -3 to go from
f( g(2) )
to
f( -3 )
-3 isn't the answer, but I wanted to put it in bold to show how the replacement is happening.
From the table, we see that f(-3) = 2 which is the final answer
In other words, f(g(2)) = 2
------------------------------
Side note:
We can say that f(g(x)) = x for any number x in the domain of g(x).
As another example, g(3) = 5 and f(g(3)) = f(5) = 3.
The same works the other way around meaning that g(f(x)) = x.
Related Questions
A jewelry box has a volume of 240 in cubic in. Its height is 12 inches, its width x in inches and its length ( x + 8) inches.
Answers
Answer:
Width of the box = 2 inches
Step-by-step explanation:
Volume of a box = length × width × height
Volume of the box = 240 cubic inches
Length of the box = (x + 8) inches
Width of the box = x inches
Height of the box = 12 inches
Volume of a box = length × width × height
240 = (x + 8) * x * 12
240 = (x² + 8x) * 12
240 = 12x² + 96x
12x² + 96x - 240 = 0
x² + 8x - 20 = 0
Solve quadratic equation using factorization method
x² + 10x - 2x - 20 = 0
x(x + 10) -2(x + 10) = 0
(x + 10) (x - 2) = 0
x + 10 = 0 OR x - 2 = 0
x = -10 OR x = 2
Width of the box can not be a negative value
Therefore,
Width of the box = 2 inches
2x-1/4 + x/3 = 2
Solve the equation
Answers
Answer:
below
Step-by-step explanation:
steps are shown above
Nvm, I know it's KM for this one y'all.
Answers
Answer:
If the question is asking which line is the radius then yes
Step-by-step explanation:
Please help will give branliest
Answers
-2x+8y-3
Hope this helps! :)
Answer:
-2x + 8y -3
Step-by-step explanation:
-2x = -2x
2y + 6y = 8y
-3 = -3
If we remove all of the queens and jacks from a 52-card deck, how many unique four card hand combinations can we create?
1,299,480
3,258,024
651,604
6,497,400
Answers
Answer:
B. 3258024Step-by-step explanation:
If we remove all of the queens and jacks from a 52-card deck, we get:
52 - 8 = 44 cardsThe number of 4-card combinations:
44P40 = 44!/40! = 44*43*42*41= 3258024Correct choice is B
Answer: C 651,604
Step-by-step explanation:
I need help to find the value please
Answers
Answer:
13.928
Step-by-step explanation:
Pythagorean theorem. 13^2 + 5^2 = x^2
Answer:
this is easy
Step-by-step explanation:
valve of x is 30 add 13 into 30 = 43÷5 5/8
1. In the diagram below, segment AB is tangent to circle C at point D and
AC LBC. If m
Answers
Answer:
∠ DCB = 28°
Step-by-step explanation:
∠ ACD = 180° - (90 + 28)° = 180° - 118° = 62° , then
∠ DCB = 90° - 62° = 28°
does anyone get this ?
Answers
Answer and Step-by-step explanation:
i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1
Since we know this, we can go to the last instance of the multiply of 4.
For this question, it is 12. 2 more after twelve is 14. Since it is 2, it would be -1.
D. -1 -- This is the answer.
#teamtrees #PAW (Plant And Water)
Find the equation of the line parallel to y = 2/3-7 (2 over 3)
passing through A(6,-1).
Answers
Answer:
y = 2/3x - 5
Step-by-step explanation:
y = 2/3x + b
-1 = 2/3(6) + b
-1 = 4 + b
-5 = b
The vertex of this parabola is at (-5, 4). Which of the following could be its
equation?
Answers
Answer:
A. y = -(x + 5)^2 + 4
Step-by-step explanation:
After a small online search, I've found that the options are:
A. y = -(x + 5)^2 + 4
B. y = -(x - 5)^2 + 4
C. y = -(x + 5)^2 - 4
D. y = -(x - 5)^2 - 4
For a quadratic equation with a vertex at the point (h, k) is written as:
y = a*(x - h)^2 + k
Where a is the leading coefficient.
So, if here we have the vertex at (-5, 4)
y = a*(x - (-5))^2 + 4
y = a(x + 5)^2 + 4
Then the correct option is the first one, where a = -1, then the correct option is A.
Stefan sells Jin a bicycle for $149 and a helmet for $19. The total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answers
Answer:
$120
$48
Step-by-step explanation:
total amount Jin spent = cost of bicycle + cost of helmet
$149 + $19 = $168
This equation can be derived from the question :
1.4 x t = 168
where t = total cost Stephan spent on the helmet and bicycle
t = 168/1.4 = $120
Profit = selling price - cost price
$168 - $120 = $48
Work out the size of angle x
Pls help thx !
Answers
Answer:
83
Step-by-step explanation:
not sure tho____________
Answer:
83 degrees
Step-by-step explanation:
The exterior angle of a triangle can be find by adding up the two inner angles that are not adjacent, so
43 + x = 126
x = 83 degrees
Second way
exterior angle + inner angle = 180
126 + inner angle = 180
inner angle = 54
the sum of the inner angles of a triangle is 180 degrees
54 + 43 + x = 180
97 + x = 180
x = 83 degrees
help, please! f(x)=x^2 what is g(x)?
Answers
Answer:
B
Step-by-step explanation:
If you substitute in the value x = 1, and y = 4 (based on the point given), (2x)^2 is the only expression that makes it work.
Hope this helps!!
Here is an expression: 3 ⋅ 2^t. Evaluate the expression when t is 4.
Answers
Answer:
48
Step-by-step explanation:
3 ⋅ 2^t
3 * 2^4
3*16
48
6 g of butter is used for making a cupcake. How many such cakes can be made by using 3 kg of butter?
Answers
Answer: 500
Step-by-step explanation:
Given
6 g butter is required to make a cupcake
If there is 3 kg butter
We know, 1 kg is equivalent to 1000 g i.e. 3 kg is 3000 gm
No of cup-cakes made
[tex]\Rightarrow \dfrac{3000}{6}=500\ \text{cupcakes}[/tex]
The student enrollment of South High School was 1,350 students in 1995 and increased by15% per year until 2010. Approximately how many students were enrolled at South HighSchool in 2010?
Answers
Answer:
81
Step-by-step explanation:
1350 ×15 % by 100 = 81. 15 year = 1,215
How many liters are equivalent to 25 ml
Answers
Answer:
0.025 liters
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
0.025 liters
Step-by-step explanation:
Here Tran posted it
Answers
Step-by-step explanation:
1. I estimate that the error in measuring the area of the lot is about 10% so we write the area as 400 sq ft +- 10%, which means that the lot can be as small as 360 sq ft or as large as 440 sq ft. We tack on 15% more on the number of pieces of sod to account of the plot's irregularities. Since each piece of sod is 2 sq ft, the number of pieces we must get is 440/2 = 220 pieces +- 15% or 253 pieces
2. The nominal value is jus the average weight which is 59.5 g. The tolerance is (3.5g/59.5g)×100% = 5.88% and the measurement range is from 56g to 63g.
A• 3.7
B• 3.8
C• 5.3
D• 5.4
Answers
Answer:
D 5.4
Step-by-step explanation:
The pythagoras theorem states that a² + b² = c²
2² + 5² = ?²
4 + 25 = ?²
29=?²
? =
[tex] \sqrt{29} [/tex]
? = 5.4 rounded 2 sig fig one decimal place
Evaluate the function
f(8) + g(-1) for the functions f(x) = -2x + 9 and g(x) = x²-2
Answers
Answer:
- 8
Step-by-step explanation:
To evaluate f(8) substitute x = 8 into f(x)
f(8) = - 2(8) + 9 = - 16 + 9 = - 7
Similarly for g(- 1)
g(- 1) = (- 1)² - 2 = 1 - 2 = - 1
Then
f(8) + g(- 1) = - 7 + (- 1) = - 7 - 1 = - 8
According to exponent rules, when we divide the expressions we
exponents.
Answers
PLEASE HELP
IT SAYS IN PROGRESS BUT ITS COMPLETED WHAT DO I DO???!!!!
Answers
Answer:
click on it and double check that all questions are 100% complete if so wait because it is quite possible it is a glitch this sort of thing happens often no need to be alarmed
Felipe, Pedro y Miguel son fanáticos del cine. Felipe asiste cada 3 días; Pedro cada 6 días y Miguel cada 5 días. Los tres van juntos un día, ¿dentro de cuántos días irán otra vez juntos?
A) 10 B) 20 C) 30 D) 35
E) 40
Answers
Answer:
Opción C, 30 días.
Step-by-step explanation:
Sabemos que:
Felipe asiste al cine cada 3 días
Miguel asiste cada 5 días.
Pedro asiste cada 6 días.
Los tres van juntos un día, ¿dentro de cuántos días irán otra vez juntos?
Los 3 volverán a ir juntos luego de N días, tal que N es el menor múltiplo común de 3, 5 y 6.
Como 6 es múltiplo de 3, podemos ignorar al 3, y solo considerar al menor múltiplo en común de 5 y 6.
Además, como podemos reescribir estos números como un producto de números primos, así obtenemos:
6 = 2*3
5 = 5*1
Estos números no comparten factores entre ellos, por lo que el menor múltiplo entre 5 y 6 es simplemente 5*6 = 30
Entonces podemos concluir que N = 30
Felipe, Pedro y Miguel irán juntos al cine nuevamente dentro de 30 días.
La opción correcta es C.
Please helppppppp me
Answers
Answer:
13
Step-by-step explanation:
< W = <V Given
WV = 8 Given
XV = 13 Given
Find XW
In an isosceles triangle if you are given the length of one of the sides opposite one of the two equal angles, then the side opposite the other equal angle is equal to the given side.
In sort XV = 13. < V = <W XW = 13
There is a population of 5 bacteria in a colony. If the number of bacteria doubles every minute, which function can be used to determine what the population will be x minutes from now?
Answers
Answer:
[tex]f(x) = 5 *2^x[/tex]
Step-by-step explanation:
Given
[tex]a=5[/tex] -- initial
[tex]r = 2[/tex] --- rate (i.e. double)
Required
The function to represent the scenario
The above scenario represents an exponential function where
[tex]f(x) = ar^x[/tex]
So, the function is:
[tex]f(x) = 5 *2^x[/tex]
1. For each relation, state
i) the domain and the range
ii) whether or not it is a function, and justify your answer
Answers
Answer:
A and C are functions.
The domain is x and the range is y
Step-by-step explanation:
Each x - value can have only one y -value
Function= unique x-values
Y can be the same answer but the X has to be different
Using the Pythagorean Theorem, determine the length of the missing side of the right triangle.
Answers
In this case, you have a and b, so you need c.
That means that c^2 = a^2 - b^2 so c is the square root of (a^2 - b^2) that means c = the square root of (676 - 576) which is 10in.
Answer: 10 in.
Step-by-step explanation: We can use the PT to find the length of the missing side. The PT is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where "a" and "b" are side lengths and "c" is the hypotenuse. Given that, we can see that they have given just one side length (24 in) and the length of the hypotenuse (26 in). Plugging these values into the formula, we get 24^2 + b^2 = 26^2. This equals 576 + b^{2} = 676. Solving for b^{2}, we move the 576 and do 676-576, which equals 100, giving us b^{2} = 100. If we take the square root of both sides, we get b = [tex]\sqrt{100\\}[/tex]. The square root of 100 equals 10, giving us our final answer. The length of the missing side is 10 in.Find The Surface Area And Volume Of A Sphere Whose Radius Is 5.6ml
Answers
Answer:
surface area is A≈394.08
not so sure about volume
Step-by-step explanation:
5x−x can u give me the anwser
Answers
Answer:
4x
Step-by-step explanation:
5x - x is simply
5x - 1x = 4x
Another way to think about it:
5x = 5 * x
5(x) - 1(x) = 4(x) = 4x
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
4x
Step-by-step explanation:
Step by step pls thanks
Answers
The choose (d)
1/2(x+1)
x²–25/x²+6x+5 / 2x-10
(x+5)(x-5)/ (x+1)(x+5) / 2(x-5)
Remove (x+5) from the first fraction
(x-5)/(x+1) / 2(x-5)
(x-5) / 2(x-5)(x+1)
Remove (x-5)
1/2(x+1)
I hope I helped you
Good luck ^_^
