What is the domain of (sqrt(x+1))/(sqrt(x-4)) ?

The domain of (sqrt(x+1))/(sqrt(x-4)) is x>4

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domain of (sqrt(x+1))/(sqrt(x-4))

domain

\frac{x + 1}{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

f (x) = \frac{x}{2}

f (x) = 4 x^{3} - 5 x^{2} + 5 x - 7

- 3 x^{3} + 7 x^{2} + x - 3

\frac{x + 4}{x - 4}

f (x) = \frac{3 x}{x ^{2} + 1}

What is the domain of (sqrt(x+1))/(sqrt(x-4)) ?
The domain of (sqrt(x+1))/(sqrt(x-4)) is x>4