How do you find f(g(x))f(g(x)) given f(x)=-3x+7f(x)=−3x+7 and g(x)=x^2-8g(x)=x2−8?

1 Answer
iceman
Aug 4, 2016

f(g(x))=-3x^2+31f(g(x))=−3x2+31

Explanation:

f(x)=-3x+7 and g(x)=x^2-8f(x)=−3x+7andg(x)=x2−8
f(g(x))f(g(x)) => AKA: fog(x)fog(x) => or: f of g(x)g(x):
therefore:
f(g(x))=f(x^2-8)f(g(x))=f(x2−8)
=-3(x^2-8)+7=−3(x2−8)+7
=-3x^2+24+7=−3x2+24+7
=-3x^2+31=−3x2+31

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