Given f(x)=2x^2+7x and g(x)=3x+1, find (f*g)(x)

Sasha Hess

Sasha Hess

Answered question

2022-09-05

Given
f ( x ) = 2 x 2 + 7 x and g ( x ) = 3 x + 1, find ( f g ) ( x )

Answer & Explanation

Peugeota2p

Peugeota2p

Beginner2022-09-06Added 14 answers

So:
f ( x ) = 2 x 2 + 7 x ,   g ( x ) = 3 x + 1 ( f g ) ( x ) = f ( g ( x ) ) = f ( 3 x + 1 ) = 2 ( 3 x + 1 ) 2 + 7 ( 3 x + 1 ) = 2 ( 9 x 2 + 1 + 6 x ) + 21 x + 7 = 18 x 2 + 33 x + 9

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