Please Answer the following.

Question

If f(x) = |3x| – 10 and g(x) = 2x³, what is (g  f)(–2)?

Grade 12 Advanced Functions

Please answer clearly and neatly. Thanks :)

Answer 1

We have f(x)=|3x|-10, therefore f(-2)=|3(-2)|-10=|-6|-10=6-10=-4

Therefore: (g°f)(-2)=g(f(-2))=g(-4)=2(-4)³=2*(-64)=-128

Hence the answer is -128.