Question

A function g(x) is identical to f(x) = x except reflected about the y-axis. Find g(x).

Answer 1

g(x) = -x

Explanation:

The reflection of a function over the y-axis involves changing the sign of the x-values (i.e. making them negative) while keeping the y-values the same. This is because the y-axis is the vertical axis, and to reflect a point or function across a vertical line, you effectively swap the positive and negative horizontal coordinates.

So, for the given function f(x) = x, when it is reflected over the y-axis, it becomes:

g(x) = -x