Find $( f - g ) ( x )$ . $f ( x ) = x ^ { 2 } + 3 , g ( x ) = \sqrt { 5 - x }$
A) $x ^ { 2 } + 3 + \sqrt { 5 - x }$
B) $x ^ { 2 } - 3 + \sqrt { 5 - x }$
C) $x ^ { 2 } - 3 + \sqrt { 5 + x }$
D) $x ^ { 2 } + 3 - \sqrt { 5 - x }$
E) $x ^ { 2 } - 3 - \sqrt { 5 - x }$

Question

Find $( f - g ) ( x )$ .   $f ( x ) = x ^ { 2 } + 3 , g ( x ) = \sqrt { 5 - x }$  
A) $x ^ { 2 } + 3 + \sqrt { 5 - x }$
B) $x ^ { 2 } - 3 + \sqrt { 5 - x }$
C) $x ^ { 2 } - 3 + \sqrt { 5 + x }$
D) $x ^ { 2 } + 3 - \sqrt { 5 - x }$
E) $x ^ { 2 } - 3 - \sqrt { 5 - x }$

Quizplus · Accepted Answer

The operation $( f - g ) ( x )$ means to subtract $g(x)$ from $f(x)$, so you calculate $f(x) - g(x) = (x^2 + 3) - (\sqrt{5 - x})$, which simplifies to $x^2 + 3 - \sqrt{5 - x}$.

Find (f−g)(x)( f - g ) ( x )(f−g)(x) f(x)=x2+3,g(x)=5−xf ( x ) = x ^ { 2 } + 3 , g ( x ) = \sqrt { 5 - x }f(x)=x2+3,g(x)=5−x​

Find $( f - g ) ( x )$ $f ( x ) = x ^ { 2 } + 3 , g ( x ) = \sqrt { 5 - x }$