Question

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

Answer 1

The answer you are looking for is 11x-4

Answer 2

`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`