## If f(x) = x3 + 7×2 – x and g(x) = x2 – 3, what is the degree of g(f(x))? 2 3 6 8

Question

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## Answers ( No )

g(x) = x^2 – 3

f(x) = x^3+7x^2-x

Start with the g(x) function. Replace every x with f(x)

g(x) = x^2 – 3

g(f(x)) = ( f(x) )^2 – 3

Then replace the f(x) on the right side with x^3+7x^2-x

g(f(x)) = (x^3+7x^2-x)^2 – 3

The highest term inside the parenthesis is x^3. Squaring this leads to (x^3)^2 = x^(3*2) = x^6

So the highest exponent found in g(f(x)) is 6, meaning

the degree of is 6Answer: Choice C) 6Note: There is no need to expand out the expression as we only need the degree

Answer:C. 6 on edge 🙂