For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation.
-$f ( x ) = 2 x + 4 ; g ( x ) = 3 x - 8 ; \quad$ Find $f \cdot g$.
A) $( f \cdot g ) ( x ) = 6 x ^ { 2 } - 4 x - 32 ; ( \infty , \infty )$
B) $( f \cdot g ) ( x ) = 5 x ^ { 2 } - 4 x - 4 ; ( \infty , \infty )$
C) $( f \cdot g ) ( x ) = 6 x ^ { 2 } + 4 x - 32 ; ( \infty , - 32 ) \cup ( - 32 , \infty )$
D) $( f \cdot g ) ( x ) = 6 x ^ { 2 } - 32 ; ( \infty , - 32 ) \cup ( - 32 , \infty )$

Question

Quizplus · Accepted Answer

Multiplying $f(x) = 2x + 4$ and $g(x) = 3x - 8$ gives $6x^2 - 4x - 32$. The domain of a polynomial is all real numbers, or $(-\infty, \infty)$.

For the Given Functions F and G, Find the Requested f(x)=2x+4;g(x)=3x−8;f ( x ) = 2 x + 4 ; g ( x ) = 3 x - 8 ; \quadf(x)=2x+4;g(x)=3x−8;

For the Given Functions F and G, Find the Requested $f ( x ) = 2 x + 4 ; g ( x ) = 3 x - 8 ; \quad$