Perform the requested operation or operations. Find the domain of each.
-$$f ( x ) = 4 x + 8 , g ( x ) = 4 x ^ { 2 }$$
Find $( f + g ) ( x )$.
A) $4 x + 8 + 4 x ^ { 2 }$; domain: $( - \infty , \infty )$
B) $4 x + 8 - 4 x ^ { 2 }$; domain: $( - \infty , \infty )$
C) $\frac { 4 x + 8 } { 4 x ^ { 2 } } ;$ domain: $( - \infty , \infty )$
D) $16 x ^ { 3 } + 32 x$; domain: $( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The sum of the functions $f(x) = 4x + 8$ and $g(x) = 4x^2$ is $4x + 8 + 4x^2$, and since both are polynomials, their domain is all real numbers, $(- \infty , \infty )$.

Perform the Requested Operation or Operations f(x)=4x+8,g(x)=4x2f ( x ) = 4 x + 8 , g ( x ) = 4 x ^ { 2 }f(x)=4x+8,g(x)=4x2

Perform the Requested Operation or Operations $f ( x ) = 4 x + 8 , g ( x ) = 4 x ^ { 2 }$