Given f(x) = x ^ 2 + 2x and g(x) = x - 1 , find (fg)(x) A) x^3 + 2x^2 B) x^3 + x^2 + 2x C) x^3 - x^2 - 2x D) x^3 + x^2 - 2x

Caoyufei asked Nov 23, 2022

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22 votes

Given f(x) = x ^ 2 + 2x and g(x) = x - 1 , find (fg)(x)

A) x^3 + 2x^2
B) x^3 + x^2 + 2x
C) x^3 - x^2 - 2x
D) x^3 + x^2 - 2x

Caoyufei asked Nov 23, 2022

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21 votes

Heya !! here's your solution :

$\hookrightarrow \: ( {x}^(2) + 2x) * (x - 1)$

$\hookrightarrow \: \: {x}^(3) - {x}^(2) + 2 {x}^(2) - 2x$

$\hookrightarrow \: {x}^(3) + {x}^(2) - 2x$

therefore , the correct Option is D

Amyassin answered Nov 28, 2022

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