Question

If f(x) = -5x - 11, then f-1(x) =

Answer 1

f^-1(x) = -1/5(x+11)

Explanation:

f(x) = -5x - 11

y = -5x - 11

Exchange x and y

x = -5y -11

Solve for y

x+11 = -5y-11+11

x+11 = -5y

Divide by -5

(x+11)/-5 = -5y/-5

-1/5(x+11) = y

f^-1(x) = -1/5(x+11)