Question

Consider functions fand g.f(x) = 11x3 – 3.2g(x) = 7x4 + 933Which expression is equal to f(x) · g(x)?OA. 777 + 78r6 – 27x5OB. 7.r4 + 99.23 – 3r2O C. 1837 + 10 r6 + 6x5OD. 77x12 + 99r9 – 2108 – 27.76

Answer 1

The functions are given as follows:

$\begin{gathered} f(x)=11x^3-3x^2 \\ g(x)=7x^4+9x^3 \end{gathered}$

To evaluate [f(x).g(x)], we multiply both functions:

$f(x)\text{.}g(x)=(11x^3-3x^2)(7x^4+9x^3)$

Expanding, we have

$\begin{gathered} =11x^3(7x^4+9x^3)-3x^2(7x^4+9x^3) \\ =77x^7+99x^6-21x^6-27x^5 \end{gathered}$

Simplifying, we have the answer to be

$f(x)\text{.}g(x)=77x^7+78x^6-27x^5$

Therefore, the correct option is OPTION A.