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Find (f*g)(x)

if f(x)=6x

g(x)=x+5

 Feb 28, 2021
 #1
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Plug g(x) into the x in f(x)

 Feb 28, 2021
 #2
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\((f\cdot g)(x) = f(x) \cdot g(x) = 6x(x + 5) = 6x^2 + 30x\)

 

But if you meant \((f\circ g)(x)\):

 

\((f\circ g)(x) = f(g(x)) = 6 g(x) = 6(x + 5) = 6x + 30\)

 Feb 28, 2021

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