Chapter 5.1, Problem 2AYU

Find $f(3x)$ if $f(x)=4-2x^2$. (pp. 60-62)

To determine

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

Answer to Problem 2AYU

Solution:

$f\left(3x\right)=4-18x^2$

Explanation of Solution

Given:

$f\left(x\right)=4-2x^2$

Calculation:

Replace $x$ by $3x$ in the given function, we get the solution as

$f\left(3x\right)=4-2{\left(3x\right)}^2$

$f\left(3x\right)=4-2\left(9x^2\right)$

$f\left(3x\right)=4-18x^2$