Question

The functions f(x) and g(x) are shown on the graph.f(x) = 1x1What is g(x)?f(x) = x1g(x) = ?A. g(x) = x + 3B. g(x) = x + 3O c. g(x) = 1x1 - 3D. g(x) = x - 3

Answer 1

Given function is

`f(x)=\lvert x\rvert`

Consider the functionj

`\lvert x\rvert-3`

In the given graph, the point at 0 is (0,-3)

Hence the function corresponding to the given graph is

`g(x)=\lvert x-3\rvert`

Hence the answer is C. since x=0, then

`\lvert x\rvert-3=-3`