Given functions f and g, perform the indicated operations.
-$$f ( x ) = 3 x ^ { 2 } + 5 , \quad g ( x ) = 2 x ^ { 3 } - 1$$
A) $( - \infty , \infty )$
B) $( - \infty , 0 )$ or $( 0 , \infty )$
C) $( 0 , \infty )$
D) $( - \infty , - 3 )$ or $( - 3 , - 2 )$ or $( - 2 , \infty )$ Find the domain of the indicated combined function.

Question

Quizplus · Accepted Answer

The domain of both $f(x) = 3x^2 + 5$ and $g(x) = 2x^3 - 1$ is all real numbers, $(-\infty, \infty)$, since there are no restrictions such as division by zero or square roots of negative numbers in either function.

Given Functions F and G, Perform the Indicated Operations f(x)=3x2+5,g(x)=2x3−1f ( x ) = 3 x ^ { 2 } + 5 , \quad g ( x ) = 2 x ^ { 3 } - 1f(x)=3x2+5,g(x)=2x3−1

Given Functions F and G, Perform the Indicated Operations $f ( x ) = 3 x ^ { 2 } + 5 , \quad g ( x ) = 2 x ^ { 3 } - 1$