Given F(x) = X2 + 8x – 20 And G(x) = 4x – 10, What Is (f ° G)(x)? - Wyzant

Subject ZIP Search Search Find an Online Tutor Now Ask Ask a Question For Free Login Algebra 2 Given f(x) = x2 + 8x – 20 and g(x) = 4x – 10, what is (f ° g)(x)?

A= 4x2 + 32x - 90

B =16x2 - 48x

C=16x2+ 32x – 200

D= 4X2+ 22x2– 160x + 200 

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so what you want is f(g(x)) so you want to take the equation g(x) and plug it in wherever you see an x in the f(x) equation:

f(g(x))=(4x-10)2+8(4x-10)-20 = 16x2-80x+100+32x-80-20 = 16x2-48x (Choice B)

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Well substitute 4x-10 for x in f(x)

fg (x) = (4x-10)^2 + 8 (4x-10) - 20

The squared term here will be (4x)^2 = 16x^2, so it has to be b or c

The constant term will be (-10)^2 - 80 - 20 = 0

So it's going to be B

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Từ khóa » G(x)=x^2-8x-20