For the pair of functions, determine the domain of f + g.
-$$f ( x ) = 3 x ^ { 2 } + 1 , g ( x ) = 5 x ^ { 3 } - 7$$
A) $( \infty , \infty )$
B) $( \infty , 0 )$
C) $( 0 , \infty )$
D) $( \infty , 0 )$ or $( 0 , \infty )$

Question

Quizplus · Accepted Answer

The domain of both $f(x) = 3x^2 + 1$ and $g(x) = 5x^3 - 7$ is all real numbers, since there are no restrictions on $x$ for polynomials. Therefore, the domain of $f + g$ is also all real numbers, which is represented as $(-\infty, \infty)$.

For the Pair of Functions, Determine the Domain of F f(x)=3x2+1,g(x)=5x3−7f ( x ) = 3 x ^ { 2 } + 1 , g ( x ) = 5 x ^ { 3 } - 7f(x)=3x2+1,g(x)=5x3−7

For the Pair of Functions, Determine the Domain of F $f ( x ) = 3 x ^ { 2 } + 1 , g ( x ) = 5 x ^ { 3 } - 7$