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Gala2k [10]
4 years ago
13

What are the steps of determine an inverse of a function?

Mathematics
1 answer:
Yuki888 [10]4 years ago
5 0

Step-by-step explanation:

First, replace f(x) with y . ...

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y . ...

Replace y with f−1(x) f − 1 ( x ) . ...

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

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What is the vertex of (x) = –16x² + 64x + 80.
cricket20 [7]

Answer:

<h3>            (2, 124)</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k      - the  vertex form of the equation of the parabola with vertex (h, k)

f(x) = -16x^2+ 64x + 80\\\\f(x) = -16(x^2- 4x) + 80\\\\f(x) = -16(\underline {x^2-2\cdot2x\cdot2+2^2}-2^2) + 80\\\\f(x) = -16\big[(x-2)^2-4\big] + 80\\\\f(x) = -16(x-2)^2+64 + 80\\\\\bold{f(x)=-16(x-2)^2+124\quad\implies\quad h=2\,,\quad k=124}

<u>The vertex is </u><u>(2, 124)</u>

7 0
3 years ago
triangle abc is rotated 90° clockwise about the origin. what is the rules that we can use to find the vertices location of the i
yuradex [85]

Answer:

The answer is when we rotating something 90 degrees clockwise about the orgin

(x,y) goes to (y,-x)

5 0
3 years ago
Helicopters can land on circular pads. The area of a landing pad is 1,962.5 square feet. What is the radius of the pad? Use 3.14
notsponge [240]

Answer:

25 ft

Step-by-step explanation:

The area of this landing pad is 1,962.5 ft², which equals πr².

We solve this equation for r²:

       1962.5 ft²

r² = -----------------  =  625 ft²

             3.14

Taking the square root of both sides, we get:

r = √(625 ft²) = 25 ft

The radius is 25 ft.

5 0
4 years ago
Read 2 more answers
If the area of a square is 36 inches what is the length of one side?
Pavel [41]
To find the length of a square given the area, we just need to take the square root of the area given. The sqrt of 36 is 6, so each side is 6 inches. :)
4 0
3 years ago
Read 2 more answers
How many zeros are in the product (6x5)x103
Serga [27]
If you multiply 6 * 5 you get 30.  30 * 103 = 3,090

There are 2 zeros in the product of (6x5)x103
4 0
3 years ago
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