Find the domain of the square root function and express in interval notationDetailed Step By Step

Question

asked Dec 13, 2023 179k views

1 Answer

Darren Willows · Answer 1 · 2023-12-18T06:46:46+0000

Recall that the square root is only definied for possitive numbers and zero, therefore, the domain of f(x) consists of all x such that:

$-2x-7\ge0.$

Adding 7 to the inequality we get:

$-2x\ge7.$

Dividing by -2 we get:

$x\le-(7)/(2)\text{.}$

Therefore, the domain of f(x) is:

$(-\infty,-(7)/(2)\rbrack.$

Answer:

$(-\infty,-(7)/(2)\rbrack.$