Question

identify the domain and then graph the function.
$f(x)=\sqrt{x} + 5$

select the correct choice and, if necessary, fill in the answer box to complete your choice.
\\(\bigcirc\\) a. the domain is \\(x \leq \square\\). (type an integer or simplified fraction.)
\\(\bigcirc\\) b. the domain is \\(x \geq \square\\). (type an integer or simplified fraction.)
\\(\bigcirc\\) c. the domain is all real numbers.

Explanation:

Step1: Recall domain of square root

For a square root function $\sqrt{x}$, the expression inside (radicand) must be non - negative. So $x\geq0$.

Step2: Determine domain of $f(x)=\sqrt{x}+5$

The function $f(x)=\sqrt{x}+5$ has the same domain as $\sqrt{x}$ because the addition of 5 does not affect the domain. So the domain is $x\geq0$. So we choose option B and fill in 0.

Answer:

B. The domain is $x \geq 0$.