For the given functions f and g, find the requested function and state its domain.
-$$f ( x ) = x + 6 ; g ( x ) = 7 x ^ { 2 }$$
Find $f + g$.
A) $( f + g ) ( x ) = 7 x ^ { 2 } + x + 6 ; \{ x \mid x \neq - 6 \}$
B) $( f + g ) ( x ) = 7 x ^ { 2 } + x + 6$; all real numbers
C) $( f + g ) ( x ) = 7 x ^ { 2 } - x - 6$; all real numbers
D) $( f + g ) ( x ) = - 7 x ^ { 2 } + x + 6$; all real numbers

Question

Quizplus · Accepted Answer

The sum of the functions $f(x) = x + 6$ and $g(x) = 7x^2$ is $(f + g)(x) = 7x^2 + x + 6$, which is defined for all real numbers, hence its domain is all real numbers.

For the Given Functions F and G, Find the Requested f(x)=x+6;g(x)=7x2f ( x ) = x + 6 ; g ( x ) = 7 x ^ { 2 }f(x)=x+6;g(x)=7x2

For the Given Functions F and G, Find the Requested $f ( x ) = x + 6 ; g ( x ) = 7 x ^ { 2 }$