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

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

0

Answers ( No )

    0
    2022-01-04T18:47:43+00:00

    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 6

    Answer: Choice C) 6

    Note: There is no need to expand out the expression as we only need the degree

    0
    2022-01-04T18:47:46+00:00

    Answer: C. 6 on edge 🙂

Leave an answer

Browse
Browse