find g(x), where g(x) is the reflection across the y - axis of f(x) = x. write your answer in the form mx +…
find g(x), where g(x) is the reflection across the y - axis of f(x) = x. write your answer in the form mx + b, where m and b are integers. g(x) =
Answer
Explanation:
Step1: Recall reflection rule
When a function $y = f(x)$ is reflected across the $y -$axis, the transformation is $y=f(-x)$.
Step2: Apply to given function
Given $f(x)=x$, then $g(x)=f(-x)$. Substituting $-x$ for $x$ in $f(x)$, we get $g(x)=-x+0$. Here $m=- 1$ and $b = 0$.
Answer:
$-x$