Question

find g(x), where g(x) is the reflection across the y - axis of f(x)=4x + 5. write your answer in the form mx + b, where m and b are integers. g(x) =

Explanation:

Step1: Recall reflection rule

To reflect a function $y = f(x)$ across the $y$-axis, we replace $x$ with $-x$. Given $f(x)=4x + 5$, for $g(x)$ (the reflection of $f(x)$ across the $y$-axis), we substitute $x$ with $-x$.

Step2: Calculate $g(x)$

$g(x)=f(-x)=4(-x)+5$.

Step3: Simplify the expression

$g(x)=-4x + 5$.

Answer:

$g(x)=-4x + 5$