For the pair of functions, find the indicated domain.
-$f ( x ) = 2 x - 5 , g ( x ) = \sqrt { x + 10 }$
Find the domain of f+g
A) $[ 0 , \infty )$
B) (-10,10)
C) $[ 10 , \infty )$
D) $[ - 10 , \infty )$

Question

For the pair of functions, find the indicated domain.
-$f ( x ) = 2 x - 5 , g ( x ) = \sqrt { x + 10 }$
Find the domain of  f+g
A) $[ 0 , \infty )$
B)  (-10,10) 
C) $[ 10 , \infty )$
D) $[ - 10 , \infty )$

Quizplus · Accepted Answer

The domain of $f+g$ is determined by the more restrictive domain of the two functions, which is $g(x) = \sqrt{x + 10}$. The square root function requires the argument $x + 10$ to be greater than or equal to 0, leading to $x \geq -10$. Therefore, the domain of $f+g$ is $[ - 10 , \infty )$.

For the Pair of Functions, Find the Indicated Domain f(x)=2x−5,g(x)=x+10f ( x ) = 2 x - 5 , g ( x ) = \sqrt { x + 10 }f(x)=2x−5,g(x)=x+10​

For the Pair of Functions, Find the Indicated Domain $f ( x ) = 2 x - 5 , g ( x ) = \sqrt { x + 10 }$