Question

If f(x) = x³ +7x²-x and g(x)=x²-3, What is the degree of g(f(x))?

a)2
b)3
c)6
d)8

Answer 1

• g(f(x))
• g(x³+7x²-x)
• (x³+7x²-x)²-3

Degree of g(f(x))

Use Pascal's law

• 3×2
• 6

Option C

Answer 2

c) 6

Explanation:

Given :

⇒ f(x) = x³ + 7x² - x

⇒ g(x) = x² - 3

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Finding the degree of g(f(x)) :

⇒ Degree of f(x) = 3

⇒ Degree of g(x) = 2

⇒ Therefore, degree of g(f(x)) = degree of f(x) × degree of g(x)

⇒ Degree of g(f(x)) = 3 × 2

⇒ Degree of g(f(x)) = 6