Chapter 5.6, Problem 65E

To determine

Tograph: the inverse function.

Explanation of Solution

Given information:

the functions is $f\left(x\right)=\sqrt[3]{x-4}$ .

Graph:

To draw the graph of the function and inverse function, first use the plotting point method,

$x$	$f\left(x\right)$
$4$	$0$
$12$	$2$
$31$	$3$

Now by jointing these points, the graph of function can be obtained and the graph of the inverse function is the reflection in the line $y=x$ .

Thus, the graph inverse function can be observed as:

  

Interpretation: from the above graph it can be observed that the graph of the inverse function is the reflection in the line $y=x$ .