Question

14b. State the domain of the function below. Use interval notationf(x) = 3Vx + 1 - 5

Answer 1

Given:

$f(x)\text{ = 3 }\sqrt{x+1}\text{ - 5}$

To state the domain of this using interval notation, means to find the values which x may assume for the function above.

We have:

Since there is a root, let's exclude any real number that leads to a negative number.

Here, let's solve for x by setting the radicand to be greater than or equal to zero.

x + 1 ≥ 0

x ≥ 0 -1

x ≥ -1

Therefore, the domain function using notation function will be:

(-1, ∞)

ANSWER:

(-1, ∞)