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

The open circle symbol there indicates that "f is composed of g". This is equivalent to f(g(x))

Answer 2

For finding this:

Put 5x in place of x in f(x):

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

Can you simplify it further??

Answer 3

no

Answer 4

It's not TOO much of a simplification but can you think of anything that goes into both 15 and 42?

Answer 5

3

Answer 6

So you can factor out a 3 from 15x - 42

Answer 7

3(5x - 14)

Answer 8

no it's 14

Answer 9

That's correct. Not much of a simplification but thats about all you can do with that.

Answer 10

Oh okaay.
what method would this be

Answer 11

@qpHalcy0n ?

Answer 12

This is function composition, because f is composed of g. Eg: Function f depends on function g. You are using factoring to "simplify" it further.

Answer 13

Okay.