Step-by-step explanation
The given function f(x) is defined as
The function g(x) is defined as
We are asked to find the transformation of f(x). To do so, we can consider the graph:
we can observe that f(x) has been reflected over the y-axis
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse.
Hence
we have the answer as
Reflection over the y-axis