Question

Write a function g in terms of f so that the statement is true.

The graph of g is a horizontal shrink by a factor of 1/5 of the graph of f. ​

g(x) = ?

Answer 1

g(x) = f(5x)

Explanation:

We assume that "shrink by a factor of 1/5" means that horizontal distances on the graph of g(x) are 1/5 of those on the graph of f(x).

Dividing x by a dilation factor will cause horizontal dilation of a graph. Here, that factor is 1/5, so the desired function is ...

g(x) = f(x/(1/5))

g(x) = f(5x)