Question

Could someone help me figure out how to solve the rest of this?

I need to find fog.. This is the initial equation:

f(x)=x+7 and g(x)=3x+2

This is as far as I've gotten:

fog = f(g(x)) = x(3x - 2)+7

Have I done this right so far?
What do I do next?

I have notes on this but I don't really understand how to do the next steps.

Answer 1

I think I may have just figured it out....

Answer 2

f composed of g.. hmm i think you're very close :)

f(g(x))
So if g(x)=3x+2
then f(g(x))=f(3x+2)

If f( ) = ( ) + 7

fill in the blank! :)

Answer 3

Here's what I did:

1. f(x)=x+7 and g(x)=3x+2

2. fog=f(g(x))=x(3x-2)+7

3. fog=3x+2+7 (I switched from negative to positive/plus to minus)

4. Subtract 2 from itself and from 7

5. fog = 3x+5

Correct?

Answer 4

f(3x+2) means that you replace the x in function f with 3x+2

Answer 5

Also, in step 2 you've got 3x MINUS 2, not 3x+2

Answer 6

f(x)= (x) + 7
f(x+y)= (x+y) + 7

f(potato)= (potato) + 7

whatever is inside of f, that's what you plug in for your original x.
f(3x+2)= (3x+2) + 7

Does that make sense? :)