Question

How can the graphs of f(x) = 5/4 (x-28) and g(x) = 4/5x + 28 be used to prove that f(x) and g(x) are inverse functions? a.Show that the graph of g(x) is a translation of the graph of f(x). b.Show that the graph of g(x) is a rotation about the origin of the graph of f(x). c.Show that the graph of g(x) is a reflection about the x-axis of the graph of f(x). d.Show that the graph of g(x) is a reflection about the line y = x of the graph of f(x).

Answer 1

Answer: D

Show that the graph of g(x) is a reflection about the line y = x of the graph of f(x).

Explanation:

Answer 2

The answer is D.

We are given f(x) = 5/4(x - 28). If were weren't given the inverse, we would graph the original and switch all teh x and y values to graph the inverse. After you graph you can see that the inverse is a reflection over y = x. Thus proves out answer.

Best of Luck!