Step 1:
Domain definition
The domain of a function is the set input or argument values for which the function is real and defined.
Step 2:
[tex]\text{The domain of the function is x }\ge\text{ -2}[/tex]
Step 3:
To find f(34), you will substitute x = 34
[tex]\begin{gathered} f(x)\text{ = }\sqrt[]{x\text{ + 2}}\text{ + 5} \\ f(34)\text{ = }\sqrt[]{34+\text{ 2}}\text{ + 5} \\ f(34)\text{ = }\sqrt[]{36}\text{ + 5} \\ f(34)\text{ = 6 + 5} \\ f(34)\text{ = 11} \end{gathered}[/tex]
Final answer
f(34) = 11
