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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

Respuesta :

DᴀʀᴋPᴀʀᴀᴅᴏx

Heya !! here's your solution :

[tex] \hookrightarrow \: ( {x}^{2} + 2x) \times (x - 1)[/tex]

[tex] \hookrightarrow \: \: {x}^{3} - {x}^{2} + 2 {x}^{2} - 2x[/tex]

[tex] \hookrightarrow \: {x}^{3} + {x}^{2} - 2x[/tex]

therefore , the correct Option is D

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