mariahernandez8998 mariahernandez8998

15-11-2019
Mathematics

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If f(x) = 2x^2 and g(x)= x^2 + 2x, which expression represents f(g(x))?

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jimrgrant1 jimrgrant1

15-11-2019

Answer:

see explanation

Step-by-step explanation:

To find f(g(x)) substitute x = g(x) into f(x), that is

f(g(x))

= f(x² + 2x)

= 2(x² + 2x)² ← expand

= 2([tex]x^{4}[/tex] + 4x³ + 4x²) ← distribute

= 2[tex]x^{4}[/tex] + 8x³ + 8x²

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