Question

If f(x) = - 8x +2 then f^-1(x) =

Answer 1

f^-1(x) = -1/8x +1/4

Explanation:

To find the inverse of a function

Exchange x and y and then solve for y

y =-8x+2

Exchange x and y

x = -8y+2

Now solve for y

Subtract 2 from each side

x-2 = -8y+2-2

x-2 = -8y

Divide by -8

(x-2)/-8 = -8y/-8

Distribute

-1/8x +1/4 = y

f^-1(x) = -1/8x +1/4