Question

Which of the following is true about the function below?

Answer 1

For this case we have the following function:

$f (x) = \frac {1} {\sqrt {x + 4}}$

By definition, the domain of a function is given by all the values for which the function is defined. The given function is defined when the denominator is non-zero and when the argument of the root is greater than or equal to zero. So:

$x + 4 = 0\\x = -4$

The function is not defined in -4.

$x + 4 \geq0\\x \geq-4$

Thus, the domain of the function is given by all the strict major numbers to -4.

The range is the set of values that correspond to the domain.

The range is given by all $y> 0$.

Answer:

OPTION D