What is the domain of f(x)=(sqrt(x+5))/(sqrt(x-3)) ?

The domain of f(x)=(sqrt(x+5))/(sqrt(x-3)) is x>3

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domain of f(x)=(sqrt(x+5))/(sqrt(x-3))

domain

f (x) = \frac{x + 5}{x - 3}

x > 3

Interval Notation

(3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x > 3

\frac{t - 6}{4 t - 32}

300 x + 2000

f (x) = - 5 x + 2 - 1

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

What is the domain of f(x)=(sqrt(x+5))/(sqrt(x-3)) ?
The domain of f(x)=(sqrt(x+5))/(sqrt(x-3)) is x>3