Question

Let f(x) = 3x – 42 and g(x) = 5x.

Part 1 [4 points] What is (f ◦ g)(x) ?
Part 2 [2 points] Use complete sentences to describe the method you used to solve this problem.

Answer 1

(f ◦ g)(x) =f(g(x))

f(5x)=3(5x)-42=15x-42

Answer 2

sweet, but how exactly did you do it?

Answer 3

well g(x) =5x right?

Answer 4

right.

Answer 5

ok so when u say f(g(x)) that means f(5x)
and f(5x) is simply substituting the expression g(x) in x in f(x)
f(x)=3x-42
f(g(x))=3(g(x))-42
f(5x)=3(5x)-42

Answer 6

Thank you so much!

Answer 7

no problem:D