Chapter 1.4, Problem 32E

To determine

To find: $g\left[f\left(-2\right)\right]$

Answer to Problem 32E

  $-24$

Explanation of Solution

Given information: The given functions are as follows:

  $\begin{array}{l}f\left(x\right)=x^3\\ g\left(x\right)=3x\end{array}$

Calculation The function can be written as follows:

  $g\left[f\left(x\right)\right]=3\left(x^3\right)$

Substitute $x=-2$ in the above function and solve, to get $g\left[f\left(-2\right)\right]$

  $\begin{array}{c}g\left[f\left(-2\right)\right]=3{\left(-2\right)}^3\\ =3\left(-8\right)\\ =-24\end{array}$

Thus the value of $g\left[f\left(-2\right)\right]$ is $-24$ .