How do you find #[fog](x)# and #[gof](x)# given #f(x)=2x+5# and #g(x)=3+x#?

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Answer 1 · 2017-03-06T17:13:37

The answers are #[fog] (x)=2x+11# and #[gof] (x)=2x+8#

This is a composition of functions

#f(x)=2x+5#

#g(x)=3+x#

# [fog] (x) =f(g(x))=f(3+x)=2(3+x)+5#

#=6+2x+5=2x+11#

And

#[gof ] (x)=g(f(x))=g(2x+5)=3+2x+5#

#=2x+8#