What is the domain of y=sqrt((-4-3x)/(x-5)) ?

The domain of y=sqrt((-4-3x)/(x-5)) is -4/3 <= x<5

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domain of y=sqrt((-4-3x)/(x-5))

domain

y = \frac{- 4 - 3 x}{x - 5}

- \frac{4}{3} \leq x < 5

Interval Notation

[- \frac{4}{3}, 5)

Solution steps

Find non-negative values for radicals:

- \frac{4}{3} \leq x < 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

- \frac{4}{3} \leq x < 5

y = \frac{ln ∣ x ∣}{( x - 3 )}

\frac{2 x}{3 x - 3}

f (x) = \frac{2 x - 3}{x ^{2} - 3 x + 2}

f (x) = \frac{19 x}{x + 20}

What is the domain of y=sqrt((-4-3x)/(x-5)) ?
The domain of y=sqrt((-4-3x)/(x-5)) is -4/3 <= x<5