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

Question

asked Jan 11, 2019 109k views

2 Answers

Avinar · Answer 1 · 2019-01-17T17:01:15+0000

Answer:

f(x)=11x-4

Explanation:

The given expression is

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

Notice that this expression is the inverse of
f(x) .

To find the original function we need to isolate the dependent variable and then change them

$11y=x+4\\x=11y-4$

With the change:

$\therefore, y=11x-4$

Therefore, the function is
f(x)=11x-4