Q. 2 - Precalculus Enhanced with Graphing Utilities

Question

Find $f\left(3x\right)$ if $f\left(x\right)=4-2x^2$.

Step-by-Step Solution

Answer

The value is $f\left(3x\right)=4-18x^2$.

Step 1. Given Information

The given function is $f\left(x\right)=4-2x^2$.

Step 2. Substitute the value of x = 3 x

The value of $f\left(3x\right)$ is

$\begin{array}{rcl}f\left(3x\right)& =& 4-2\times {\left(3x\right)}^{2}f\left(3x\right)=4-2\times 9x^2\\ f\left(3x\right)& =& 4-18x^2\end{array}$.