If f(x) = x^3 + 7x^2 – x and g(x) = x^2 – 3, what is the degree of g(f(x))?

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03-11-2017
Mathematics

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If f(x) = x^3 + 7x^2 – x and g(x) = x^2 – 3, what is the degree of g(f(x))?

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altavistard altavistard · Answer 1 · 2017-11-03T15:57:18+01:00

altavistard altavistard

03-11-2017

Here we are using f(x) as the INPUT to g(x).

Thus, g( f(x) ) = [x^3 + 7x^2 - x]^2 - 3. Focus on (x^3)^2. That comes out to x^6. The degree of g( f(x) ) is thus 6.

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