Chapter 1.1, Problem 47E

To determine

To evaluate: $f\left(5m\right)$, if $f\left(x\right)=|x^2-13|$ .

Answer to Problem 47E

  $|25m^2-13|$

Explanation of Solution

Given information: The given value of $f\left(x\right)$ is as follows:

  $f\left(x\right)=|x^2-13|$ … (1)

Calculation:

To evaluate $f\left(5m\right)$ , substitute the value of $x=5m$ in equation (1) and simplify as shown below.

  $\begin{array}{c}f\left(x\right)=|x^2-13|\\ f\left(5m\right)=|{\left(5m\right)}^2-13|\\ =|25m^2-13|\end{array}$

Hence, the value of $f\left(5m\right)$ is $|25m^2-13|$ .