How Do You Find F • G And G • F If F(x)= 2x + 7 And G(x) = -5x - 1?

How do you find [f • g](x) and [g • f](x) if #F(x)= 2x + 7# and #G(x) = -5x - 1#? Precalculus Functions Defined and Notation Function Composition

1 Answer

Trevor Ryan. Oct 16, 2015

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

Explanation:

#(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#

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