Question

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

Answer 1

`$ g(x) = -x $`

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.