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!?

1 Answer

(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)