Find the function value,if possible. (If an answer is undefined, enter UNDEFINED.) f(x)=sqrt (x+8)+2 (a) f(-8) square square (c) f(x-8) square

Let's evaluate each function value step by step.<br /><br />### (a) \( f(-8) \)<br /><br />Given the function:<br />\[ f(x) = \sqrt{x + 8} + 2 \]<br /><br />To find \( f(-8) \):<br />\[ f(-8) = \sqrt{-8 + 8} + 2 \]<br />\[ f(-8) = \sqrt{0} + 2 \]<br />\[ f(-8) = 0 + 2 \]<br />\[ f(-8) = 2 \]<br /><br />So, the answer is:<br />\[ \boxed{2} \]<br /><br />### (b) \( f(x-8) \)<br /><br />Given the function:<br />\[ f(x) = \sqrt{x + 8} + 2 \]<br /><br />To find \( f(x-8) \):<br />\[ f(x-8) = \sqrt{(x-8) + 8} + 2 \]<br />\[ f(x-8) = \sqrt{x} + 2 \]<br /><br />So, the answer is:<br />\[ \boxed{\sqrt{x} + 2} \]<br /><br />### Summary<br />(a) \( f(-8) = 2 \)<br />(b) \( f(x-8) = \sqrt{x} + 2 \)