Question

Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3.

Answer 1

g(3)=-13, so all u need to find out is f(-13)=-26+1=-25

Answer 2

g(3) = -5*3 +2 = -13 and f(-13) = 2(-13)+1= -25

Answer 3

Do you understand why you start on the inside and work your way out?

Answer 4

a little

Answer 5

You are wanting to find a composite function. So, g(x) is what you are plugging in for the x of f(x). You could find the function f(g(x)) and then plug in 3 into that function if that makes more sense to you.

Answer 6

f(g(x)) = 2(-5x+2)+1

Answer 7

Do you see how I did that?

Answer 8

yes I do

Answer 9

good work joanna!

Answer 10

When you substitute x=3 and simplify, you get -25. Same as the other folks, just a different method. Whatever works best for you. :)

Answer 11

Thanks @cody_123