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

Question

Mathematics

Kendall Coffey

3 January, 11:42

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

+2

Answers (1)

Know the Answer?

Isai Dalton · Answer 1

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

Step-by-step 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