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
Radioactive Teddybear
Nov 20, 2017

#(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)#

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