Question

Which represents the inverse of the function f(x) = 4x?h(x) = x + 4• h(x) = x-4h(x) = =xh(x) = )

Answer 1

The function we have is:

`f(x)=4x`

The steps to find the inverse function are:

Step 1. Solve for x.

In this case, we solve for x by dividing both sides of the equation by 4:

`\begin{gathered} (f(x))/(4)=(4x)/(4) \\ (f(x))/(4)=x \end{gathered}`

Step 2. Change f(x) for x, and x for the inverse function f^-1(x):

`(x)/(4)=f^(-1)(x)\longrightarrow\text{inverse function}`

If we call this inverse function h(x) we get the result:

`h(x)=(x)/(4)`