What is the domain of f(x)=(sqrt(x+4))/(sqrt(x-3)) ?

The domain of f(x)=(sqrt(x+4))/(sqrt(x-3)) is x>3

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domain of f(x)=(sqrt(x+4))/(sqrt(x-3))

domain

f (x) = \frac{x + 4}{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

(3 x - 3)^{2}

\frac{x ^{2} + x - 42}{x ^{2} - x - 30}

e^{x + 4} + 7

y = ln (1 - x^{2})

\frac{e ^{x} + sin ( x ) - 1}{ln ( x + 1 )}

What is the domain of f(x)=(sqrt(x+4))/(sqrt(x-3)) ?
The domain of f(x)=(sqrt(x+4))/(sqrt(x-3)) is x>3