Question

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

Answer 1

Answer:

  g(x) = f(5x)

Step-by-step 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)