How do you find the domain of f (x)= sqrt(-5x-10)?

1 Answer
Alan P.
Nov 4, 2017

Domain: x <= -2

Explanation:

Assuming we are restricted to Real values
sqrt(-5x-10)
is only defined if #(-5x-10) >= 0

that is only if
color(white)("XXXX")(-10) >= 5x (after adding 5x to both sides)

or
color(white)("XXXX")-2 >= x (after dividing both sides by 5)

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