Find the function value indicated for the function. If necessary, round to two decimal places. If the function value is not a real number and does not exist, state so.
-$z ( x ) = \sqrt { ( x + 7 ) ^ { 2 } }$ for $z ( - 3 )$
A) 16
B) 4
C) not a real number
D) 58

Question

Quizplus · Accepted Answer

The function $z(x) = \sqrt{(x + 7)^2}$ simplifies to $|x + 7|$ because the square root of a square gives the absolute value. For $z(-3)$, we substitute $-3$ for $x$, getting $|(-3) + 7| = |4| = 4$.

Find the Function Value Indicated for the Function z(x)=(x+7)2z ( x ) = \sqrt { ( x + 7 ) ^ { 2 } }z(x)=(x+7)2​

Find the Function Value Indicated for the Function $z ( x ) = \sqrt { ( x + 7 ) ^ { 2 } }$