Match each function with its inverse function. Use function composition to determine your answer. Image down below i need you help PLS

Step-by-step explanation:

Given the functions, we are to find the inverse of each function.

For the expression f(x) = x²-2x +1

Let y = x²-2x +1

Making x the subject of the formula;

y = (x²-x)-(x +1)

y = x(x-1)-1(x +1)

y = (x-1)²

√y = x-1

x = √y+1

Replacing back y with x will give;

y = √x+1

g(x) = √x+1

This gives the inverse of the function

b) For the function f(x) = 2-5x

y = 2-5x

5x = 2-y

x = 2-y/5

repalcing y with x

y = 2-x/5

g(x) = 2-x/5

c) f(x) =5(x-2)

y =5(x-2)

y = 5x-10

5x = y+10

x = y+10/5

replacing y with x

y = x+10/5

g(x) = x+10/5

g(x) = 1/5 (x+10)

g(x) = 1/5 x + 2

g(x) = 1/5 x + 2 gives the inverse of the function.

d) f(x) = (x-2)²-1

y =  (x-2)²-1

(x-2)² = y+1

x-2 = √y+1

x = √y+1 + 2

replacing y with x

y = √x+1 + 2

g(x) = √x+1 + 2

g(x) = √x+1 + 2 gives the inverse of the function.

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step-by-step explanation:

step-by-step explanation: