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

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

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

domain

f (x) = \frac{x + 3}{x - 4}

x > 4

Interval Notation

(4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x > 4

y = - x - 9, (- 4, 6)

4 x - x^{2}

\frac{27 x}{x ^{2} + 9}

5^{x} + 3

(- 3, - 2), (2, 3)

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