Question

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

Answer 1

Given:

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

To solve this question, follow the steps below.

Step 01: Substitute f-1 (x) for y.

`y=(x+4)/(11)`

Step 02: Isolate the dependent variable (x).

To do it, first, multiply both sides by 11:

`\begin{gathered} 11y=((x+4))/(11)*11 \\ 11y=x+4 \end{gathered}`

Now, subtract 4 from both sides.

`\begin{gathered} 11y-4=x+4-4 \\ 11y-4=x \\ x=11y-4 \end{gathered}`

Step 03: Substitute x by y and y by x.

`y=11x-4`

Step 04: Substitute y by f(x).

`f(x)=11x-4`

Answer:

`f(x)=11x-4`