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:

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

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