For the pair of functions, perform the indicated operation.
-$f ( x ) = x ^ { 3 } + 3 x ^ { 2 } , g ( x ) = \sqrt { x - 8 }$ Find (f+g)(x) .
A) $x ^ { 3 } + \sqrt { 3 x ^ { 2 } + x - 8 }$
B) $\sqrt { x ^ { 3 } + 3 x ^ { 2 } + x - 8 }$
C) $x ^ { 3 } + 3 x ^ { 2 } + \sqrt { x - 8 }$
D) $x ^ { 3 } + 3 x ^ { 2 } + x - 8$

Question

For the pair of functions, perform the indicated operation.
-$f ( x ) = x ^ { 3 } + 3 x ^ { 2 } , g ( x ) = \sqrt { x - 8 }$ Find  (f+g)(x) .
A) $x ^ { 3 } + \sqrt { 3 x ^ { 2 } + x - 8 }$
B) $\sqrt { x ^ { 3 } + 3 x ^ { 2 } + x - 8 }$
C) $x ^ { 3 } + 3 x ^ { 2 } + \sqrt { x - 8 }$
D) $x ^ { 3 } + 3 x ^ { 2 } + x - 8$

Quizplus · Accepted Answer

The operation (f+g)(x) means adding the functions f(x) and g(x) together. So, (f+g)(x) = f(x) + g(x) = $x^3 + 3x^2 + \sqrt{x - 8}$.

For the Pair of Functions, Perform the Indicated Operation f(x)=x3+3x2,g(x)=x−8f ( x ) = x ^ { 3 } + 3 x ^ { 2 } , g ( x ) = \sqrt { x - 8 }f(x)=x3+3x2,g(x)=x−8​

For the Pair of Functions, Perform the Indicated Operation $f ( x ) = x ^ { 3 } + 3 x ^ { 2 } , g ( x ) = \sqrt { x - 8 }$