Can someone please help?

Find f ○ g if g(x) = x + 1 and f(x) = 2x2 - 5x + 8

1 Answer
Noah G
Apr 3, 2018

f(g(x)) = 2x^2 - 5x + 5f(g(x))=2x2−5x+5 OR f(g(x)) = f(x) - 3f(g(x))=f(x)−3

Explanation:

(f @ g)(x) = f(g(x)) = 2(x+ 1)^2 - 5(x + 1) + 8(f∘g)(x)=f(g(x))=2(x+1)2−5(x+1)+8

Simplifying a little we get

f(g(x)) = 2(x^2 + 2x + 1) - 5x - 5 + 8f(g(x))=2(x2+2x+1)−5x−5+8

f(g(x)) = 2x^2 + 4x + 2 - 5x + 3f(g(x))=2x2+4x+2−5x+3

f(g(x)) = 2x^2 - x + 5f(g(x))=2x2−x+5

Hopefully this helps!

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