Question

Composition of functions question. Help!?

If f(6) = 9 and f(x) = g(x) +2, what point can you determine on the graph of g? Help!?

Answer 1

`(6,7)`

Explanation:

`f(6)` means that `x=6`
and
`f(6)=9`

Okay, let's make this equation now then

`f(x)=g(x)+2`

You know that the original `f` equation takes place at `6`, so you might as well use this since you have the most information about this point
`f(6)=g(6)+2`

Now just substitute what you already know (`f(6)=9`)
`9=g(6)+2`

Then solve
`g(6)=7`

so at `x=6`, `g=7`
so the coordinate is `(6,7)`