Mathematics College

Algebra Question: Answer quickly.

Given the following functions:

f (x) = x2

g (x) = x − 3

Find the composition of the two functions and show your process:

Algebra Question: Answer Quickly. Given The Following Functions:f (x) = X2g (x) = X 3Find The Composition

Answers

Answer 1

Answer:

x^2 -6x +6

Step-by-step explanation:

f (x) = x^2

g (x) = x − 3

f(g(x)) = Substitute g(x) in for x in the function f(x)

         = (x-3)^2 -3

         =x^2 -3x-3x+9   -3

          =x^2 -6x +6

Related Questions

Write 2100 in scientific notation.

Answers

2.1 x 10 to the third power
There hope that helps

A 4" by 6" by 8" rectangular solid is cut by slicing through the midpoint of three adjacent edges. What is the number of inches in the sum of the lengths of the edges of the tetrahedron that is cut?

Answers

Answer:

22.078

Step-by-step explanation:

I have attached the images above

* 1. Find the two roots X7 and x2 of the quadratic equation x2 – 8x + 12 = 0. Enter y

Answers

9514 1404 393

Answer:

  x = 2, x = 6

Step-by-step explanation:

The quadratic can be factored as ...

  x^2 -8x +12 = 0

  (x -2)(x -6) = 0

Solutions are the values of x that make these factors zero:

  x -2 = 0   ⇒   x = 2

  x -6 = 0   ⇒   x = 6

What is the derivative of y^3+xe^4=3x^2-10?

Answers

Answer:

[tex] {y}^{3} + x {e}^{4} = 3 {x}^{2} - 10[/tex]

introduce dy/dx :

[tex] \frac{d( {y}^{3} + x {e}^{4} ) }{dx} = \frac{d( {3x}^{2} - 10) }{dx} \\ \\ 3 {y}^{2} \frac{dy}{dx} + {e}^{4} = 6x - 0 \\ \\ {3y}^{2} \frac{dy}{dx} = 6x - {e}^{4} \\ \\ { \boxed{ \boxed{\frac{dy}{dx} = \frac{6x - {e}^{4} }{ {3y}^{2} } }}}[/tex]

A regular hexagon is a six sided figure with all sides equal and all six angles equal. Find the length of the sides if the perimeter of the regular hexagon is 396 yd.

Answers

Answer:

sides = 61.5 yd

Step-by-step explanation:

hopefully the picture I have attached us clear and understandable

:)

Name the angle in three different ways

Answers

Answer:

angle WVU

angle UVW

angle VUW

Step-by-step explanation:

Help asap plz first answer get brainliest

Answers

Answer:

Use a mixed fractional calculator. No one is gonna help u with this many questions...

https://www.calculatorsoup.com/calculators/math/mixednumbers.php

GL

Step-by-step explanation:

Find the smallest value of p such that 525 X p is a perfect square.

Answers

Answer:

p = 21

Step-by-step explanation:

525 × 21 = 11,025

√11,025 = 105

baseand power : (-4(−4/8)²​

Answers

300000000030000000030000

No links I need the full answer to the perimeter of the trapezoid below

Answers

Answer:

26

Step-by-step explanation:

All you have to do is add up all the sides and lengths of the rectangle. 7+6+5+8=26

the answer is 26. all you do is add up all sides to get the answer

Dose anyone know how to solve this?

Answers

Answer:

Derivative of any constant is zero

you can solve it by first derivative rule

Answer:

Derivative of any constant is zero

Step-by-step explanation:

Theodore invests a total of $19,500 in two accounts paying 8% and 15% simple interest, respectively. How much was invested in each account if, after one year, the total interest was $2,400.00
A) Enter an equation that uses the information as it is given that can be used to solve this problem. Use x as your variable to represent the amount of money invested in the account paying 8% simple interest.

Answers

Answer:

[tex]x+y=19500,\:0.08x+0.15y=2400\quad :\quad x=7500,\:y=12000[/tex]

Step-by-step explanation:

x + y = 19500

.08x + .15y = 2400

At the gift shop they sell small grettong card and large greeting cards. The cost of small ones are 1.80 and the cost of large ones are 4.40. How much does it cost to get 5 small ones

Answers

Answer:

$9

Step-by-step explanation:

Since the question only asks for small ones, we only need to focus on 1.80 and 5. Multiple them. 1.80×5 and we get 9. 1.80×5=9

for each function, what is the output of the given input?
For f(x) = -5x +1, find f(3).

a. -16
b. -14
c. -2
d. 16

Answers

Answer:

b. -14

Step-by-step explanation:

x is now 3

so -5(3)+1 = -14

Solve 7x- c= k for x.
O A. x = 7(k-c)
O B. x =
*=***
O C. x = 7(k+ C)
K-c
O D. X=
7
- KM

Answers

the answer is in the photo

3p squared + 6p + 18 divided by p - 6

Answers

9514 1404 393

Answer:

  3p +24 +162/(p-6)

Step-by-step explanation:

The result of the division can be found using polynomial long division, or using synthetic division. The latter requires less writing and gives the same answer:

  [tex]\dfrac{3p^2+6p+18}{p-6}=3p+24+\dfrac{162}{p-6}[/tex]

plot function f on the graph f(x) = |1/2x - 2|​

Answers

Answer:

See attached

Step-by-step explanation:

Given function:

f(x) = |1/2x - 2|​

The function is plotted and it is below.

The graph of the function f(x) = | (x/2) - 2 | is attached with the answer the lines of the function meet at point 4 at the x-axis.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph of the function f(x) = | (x/2) - 2 | is attached with the answer the lines of the function meet at point 4 at the x-axis.

Therefore graph of the function f(x) = | (x/2) - 2 | is attached with the answer the lines of the function meet at point 4 at the x-axis.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ2

Divide. Write your answer as a fraction or a mixed number in simplest form.
3 1
9- : 4
4 2

Answers

Answer:

2 4/25 hope that helped

Step-by-step explanation:

Write the answer without using exponents? -9^3

Answers

Answer:

1/729

Step-by-step explanation:

a negative exponent is fractioned like 1/9^3. Which can be simplified as 1/729 ans 9^3 = 729

When there is -2^2, how come the answer is negative and not positive.

Answers

Answer:

the negative cancels out the positive

The box office manager said about 5,000 people attended the show. Write a number that could be the actual attendance. If he correctly rounded to the nearest hundred

Answers

9514 1404 393

Answer:

  4983

Step-by-step explanation:

Your answer could be any value between 4950 and 5049, inclusive. Below 4950 rounds down; 5050 and above rounds up.

simplify 3√578 - √162 + 4√32

Answers

[tex]3\sqrt{578}-\sqrt{162}+4\sqrt{32}=\\\\=3\sqrt{289\cdot2}-\sqrt{81\cdot2}+4\sqrt{16\cdot2}=\\\\=3\sqrt{17^2\cdot2}-\sqrt{9^2\cdot2}+4\sqrt{4^2\cdot2}=\\\\=3\cdot17\sqrt2-9\sqrt2+4\cdot4\sqrt2=\\\\=51\sqrt2-9\sqrt2+16\sqrt2=51\sqrt2+7\sqrt2=\boxed{58\sqrt2}[/tex]

Fjjfnd djdndjdnndnddn dndnxndn

Answers

Answer:

C. angle 7

Step-by-step explanation:

...............

should be letter c :))

Give the slope and the y-intercept of the line y=9x+7 . Make sure the y-intercept is written as a coordinate.

Answers

Answer:

The slope is 9

The y intercept is (0,7)

Step-by-step explanation:

y=9x+7

The equation is written in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 9

The y intercept is (0,7)

An investment of $500 earns $70 simple interest after 6 years. To the
nearest tenth of a percent, what is the interest rate?

Answers

Answer:

Rate of interest is 2.3%

please help i’m abt to break down

Answers

Answer:

4= -5v-1

5= 3x

6= 9y-6

7= h-20

8= 29w-17z

9= 8mn-2n+5m

Step-by-step explanation:

first three that you did were correct! Hope it helps!

WILL GIVE BRAINLEST
Slove f(-4) if f(x) = -4x -2
Give Step by Step pls.

Answers

Answer:

Use the given functions to set up and simplify f(−4).

14

Step-by-step explanation:

Plug x + h into the function f and simplify to find f(x + h). Now that you have f(x + h), find f(x + h) - f(x) by plugging in f(x + h) and f(x) and simplifying. Plug your result from step 2 in for the numerator in the difference quotient and simplify.

https://study.com/academy/lesson/how-to-solve-the-difference-quotient.html

Given the following function:

()=−2+2

Answers

Answer:

0...................

Step-by-step explanation:

0

What is the LCM of 42 and 63?

Please show work! I'm very confused and don't understand.

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\rm{LCM\ (aka\ Lowest\ Common\ Multiple)\ is\ the}}\\\huge\boxed{\rm{lowest\ positive \ number\ has \ a \ multiple}}}\\\huge\boxed{\rm{of\ more\ than\ one\ number.}}[/tex]

[tex]\huge\boxed{\rm{The\ multiples\ of\ 42\ are: 42, 84, 126, 168, \& \ 210}}[/tex][tex]\huge\boxed{\rm{The \ multiples \ of \ 63\ are: 63, 126, 189, \& \ 252}}[/tex]

[tex]\huge\boxed{\rm{Therefore, your\ answer\ is: 126}}}[/tex]

[tex]\huge\boxed{\text{Good luck on your assignment \& enjoy your day,}}[/tex]

~[tex]\huge\text{Amphitrite1040:)}[/tex]

Mia cuts up a piece of wood 4 1/2m long into pieces measuring 3/4m long. How many pieces are there?

Answers

Answer:

6

Step-by-step explanation:

to find how many pieces we use division

we divide the main piece of wood size ÷ small sizes

4.5 ÷0.75 = 6 pieces

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