Question

which is the domain of the function $f(x)=\frac{11}{\sqrt{x + 4}}-3$
a. $x\geq0$
b. $x > - 4$
c. $x > - 2$
d. $x\geq - 4$
e. all real numbers

Explanation:

Step1: Identify constraints for square root

The expression under the square root must be positive (since it's in the denominator, it can't be zero).
$x + 4 > 0$

Step2: Solve the inequality

Isolate $x$ by subtracting 4 from both sides.
$x > -4$

Answer:

B. $x > -4$