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,

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

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