Question

Which expression represents the composition [g o f o h](x) for the functions below?

f(x) = 5x – 4
g(x) = 5x3
h(x) = 3x

Answer 1

Thank you for asking this question.

But the options for this question are missing, following are the missing options:

A) 5(15x – 4)3

B) (75x – 20)3

C) 5(5x – 4)3

D) 675x3 – 4

The correct answer for this question is option D) 675x3 – 4

First plug h into g(x).  

g(x) = 5x^3

g(3x) = 5 (3x)^3

g(3x)= 5*27x^3

g(3x)= 135x^3

Now plug 135x^3 into the f function.  

5(135x^3)-4

675x^3 - 4

If there is any confusion please leave a comment below.