Question

Please help me help help me please help help me out

Answer 1

The definition of the inverse function states that

`f^(-1)(f(x))=x`

Therefore,

`\Rightarrow f^(-1)((1)/(2)x+2)=x`

To transform x/2+2 into x we need to follow the steps below

1. Subtract -2 to obtain x/2

2. Multiply by 2 to obtain x.

Therefore, the inverse function is

`f^(-1)(x)=2(x-2)`

If this is indeed the answer, it has to satisfy the identity above,

`\begin{gathered} f^(-1)((1)/(2)x+2)=2(((1)/(2)x+2)-2)=2((1)/(2)x)=x \\ \Rightarrow f^(-1)((1)/(2)x+2)=x \end{gathered}`

Therefore, the answer is

`f^(-1)(x)=2(x-2)=2x-4`

The answer is 2x-4