Question

1. (0 points) find the domain of the function. write your answer using interval notation.

(a) (f(x) = \frac{5x + 8}{\sqrt{-4 + x}})

domain:

Explanation:

Step1: Identify domain constraints

Set the radicand in the denominator strictly greater than zero.

$$-4 + x > 0$$

Step2: Solve the inequality

Add \(4\) to both sides of the inequality.

$$x > 4$$

Step3: Write in interval notation

Express the inequality as an open interval.
\((4, \infty)\)

Answer:

\((4, \infty)\)