Given that f(x) = −x + 4 and g(x) = −2x − 3, solve for f(g(x)) when x = 2.
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Answer:
degree 4
Step-by-step explanation:
The degree of a polynomial is determined by the term with the largest exponent for the polynomial in standard form
Given
P(x) = (x - 1)(x + 2)(x + 3)(2x - 5)
We need only consider the product of the leading terms in each factor, that is
x(x)(x)(2x) = 2 ← is the leading term in the expansion of the factors
with exponent 4
Thus polynomial is of degree 4