How do you find [f • g](x) and [g • f](x) if $F(x)= 2x + 7$ and $G(x) = -5x - 1$ ?

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Answer 1 · 2015-10-16T20:41:47

$(f@g)(x)=-10x-5$
$(g@f)(x)=-10x-36$

$(f@g)(x)=f[g(x)]=f(-5x-1)=2(-5x-1)+7$
$=-10x+5$

$(g@f)(x)=g[f(x)]=g(2x+7)=-5(2x+7)-1$
$=-10x-36$

How do you find [f • g](x) and [g • f](x) if F(x)= 2x + 7F(x)= 2x + 7 and G(x) = -5x - 1G(x) = -5x - 1?