Question

Select the correct answer.
Consider functions fand g.
f(x) = 11x3 - 3x²
g(x) = 7x4 + 9x3
Which expression is equal to f(x) · g(x)?
OA. 74 +99x3 - 3x²
OB.
77x12 +999 - 21x8 - 2716
C.
18x7 + 10x6 + 6x5
OD.
777 + 7816 - 2715

Answer 1

The value of the composite function f(x) . g(x) is 77x^7  + 78x^6 - 27x^5

How to evaluate the composite function?

The functions are given as:

f(x) = 11x^3 - 3x^2

g(x) = 7x^4 + 9x^3

The value of f(x) . g(x) is calculated as:

f(x) . g(x) = (11x^3 - 3x^2) *  (7x^4 + 9x^3)

Expand

f(x) . g(x) = 77x^7  + 99x^6 - 21x^6 - 27x^5

Evaluate the like terms

f(x) . g(x) = 77x^7  + 78x^6 - 27x^5

Hence, the value of the composite function f(x) . g(x) is 77x^7  + 78x^6 - 27x^518x^5

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