For the given function, find the indicated function value.
-For $g ( x ) = - \sqrt { ( x + 1 ) ^ { 2 } }$, find $g ( - 6 )$.
A) $- 6$
B) 5
C) $- 5$
D) 6

Question

Quizplus · Accepted Answer

The function $g(x) = - \sqrt{(x + 1)^2}$ simplifies the inside of the square root to $(x + 1)^2$, which is always non-negative. Plugging in $x = -6$, we get $g(-6) = - \sqrt{(-6 + 1)^2} = - \sqrt{(-5)^2} = - \sqrt{25} = -5$.

For the Given Function, Find the Indicated Function Value g(x)=−(x+1)2g ( x ) = - \sqrt { ( x + 1 ) ^ { 2 } }g(x)=−(x+1)2​

For the Given Function, Find the Indicated Function Value $g ( x ) = - \sqrt { ( x + 1 ) ^ { 2 } }$