Question

Let f(x) = 5x – 26 and g(x) = 6x.

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

Answer 1

(f ◦ g)(x) means f(g(x))

Answer 2

f(x) = 5x – 26

f(g(x)) = 5(g(x)) – 26 ... replace all copies of x with g(x)

f(g(x)) = 5(6x) – 26 ... replace all copies of g(x) on the right side with 6x

f(g(x)) = 30x – 26

Answer 3

and this is all substitution we're using

Answer 4

so the answer is
f(g(x)) = 30x – 26

Answer 5

to part 1, yes

Answer 6

part 2 is just explaining how you got part 1

Answer 7

okay and i already know how to do(: thanks jim!

Answer 8

sure thing