Question

Find g(x), where g(x) is the reflection across the x-axis of f(x) = x?.

Answer 1

Answer:

$g(x) = -x$

Step-by-step explanation:

The reflection of a function $f(x)$ along the $x - axis$ is given by $g(x) = -f(x)$.

Here the given function is $f(x) = x$. Therefore the reflection would be $g(x) = -x$.

To find reflection draw the graph of it and think about how the graph of its mirror image would be. You would arrive at the reflection function.