Question

Which of the following is the function F(x) if F^-1(x) = x+4/11?

A. F(x) = 11x - 4
B. F(x) =X-4/11
C. F(x) = 11(x-4)
D. F(x) = 11x +4

Answer 1

B. F(x) =X-4/11

Explanation:

We are given the inverse function;

f^(-1)(x) = x + 4/11

Thus means, x was replaced with y and vise versa. Thus;

x = y + 4/11

Lets make y the subject;

y = x - 4/11

Thus,in inverse of a function we replace y with f(x) for the original function or f^(1)(x) for the inverse.

Thus, putting f(x) for y gives;

f(x) = x - 4/11