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…
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 $x\to - x$.
Step2: Apply to given function
Given $f(x)=x$, for the reflection $g(x)$, we replace $x$ with $-x$. So $g(x)=-x + 0$.
Answer:
$-x+0$