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

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Answer 1 · 2015-10-16T20:41:47

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

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

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

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?