If f(x)=2(x-2) and g(x)=2x-(x/3), what is f(g(3))?

1 Answer
Roy Ø.
May 3, 2018

The value of #f(g(3))# is #6#

Explanation:

You need to start in the centre, i.e. with #g(3)#.
#g(3)# means the value of the function #g(x)# when #x=3#,
i.e. #g(3)= 2*3-(3/3)=6-1=5#

This value should have the place of #x# in the outer function,
i.e. #f(x)# where #x=5#.

This gives #f(5)=2(5-2)=2*3=6#

Therefore #f(g(3))=6#

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