Transformation in absolute function

Question

if f(x)=2|x+5|-3 and g(x)=5f(x) what is the simplified equation for g(x)

Answer 1

Hey Leticia!

In this problem, we need to solve for what 5f(x) is. So in order to do so, we basically have to multiply everything in f(x):

g(x) = 5f(x)

f(x)=2|x+5|-3

g(x) = 5f(x) = 5(2|x+5|-3)

= 10|x+5| - 15