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

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

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

domain

f (x) = \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

- \frac{5}{3}

x^{2} - x - 6

f (x) = 1 - 5 x^{2}

(5 \frac{1}{2}, - 4 \frac{1}{4}), (3 \frac{3}{4}, - 1 \frac{1}{4})

\frac{1}{5} x^{3} - 3

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