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

Answer:

$f(x)=11x-4$

Step-by-step explanation:

The given expression is

$f^{-1}(x)=\frac{x+4}{11}$

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 $f(x)=11x-4$