How do you find #g(f(5))# if #f(x)=x+1# and #g(x)=3x-2#?

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Answer 1 · 2017-01-14T06:22:30

The answer is #=16#

This is a composition of functions

#f(x)=x+1#

#g(x)=3x-2#

#g(f(x))=g(x+1)=3(x+1)-2#

#=3x+3-2=3x+1#

Therefore,

#g(f(5))=3*5+1=15+1=16#