Question

Which represents the inverse of the function f(x) = 4x?h(x) = x + 4h(x) = x – 4h(x) = three-quartersxh(x) = one-quarterx

Answer 1

For this problem, we are given a function f(x), and we need to calculate its inverse.

The function is:

$f(x)=4x$

The first step is to replace "f(x)" with "y".

$y=4x$

Then we need to switch "x" and "y".

$x=4y$

Finally, we solve for "y".

$\begin{gathered} y=\frac{x}{4}\\ \\ h(x)=\frac{x}{4} \end{gathered}$

The function is one quart