what is the indicated composition of f(x)=-4x+9,g(x)=2x+7

for the given fucntion f and g, what is the indicated composition of

f(x)=-4x+9,g(x)=2x+7
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1 Answer

Presumably you want (f o g)(x) or (g o f)(x).

First (f o g)(x):

f(g(x))=-4g(x)+9=-4(2x+7)+9=-8x-28+9=-8x-19.

Now (g o f)(x):

g(f(x))=2f(x)+7=2(-4x+9)+7=-8x+18+7=-8x+25. Note the difference in the two compositions.

by Top Rated User (1.1m points)

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