What is the domain of f(x)=(sqrt(x-4))/(x^2+x-20) ?

The domain of f(x)=(sqrt(x-4))/(x^2+x-20) is x>4

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domain of f(x)=(sqrt(x-4))/(x^2+x-20)

domain

f (x) = \frac{x - 4}{x ^{2} + x - 20}

x > 4

Interval Notation

(4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 4, x = - 5

Combine real regions and undefined points for final function domain

x > 4

2 x - 3

- 2 x^{2} + 2 x - 4

\frac{1}{x - 13}

y - 2 = x + 5

\frac{5 x ^{2}}{x ^{2} - 16}

What is the domain of f(x)=(sqrt(x-4))/(x^2+x-20) ?
The domain of f(x)=(sqrt(x-4))/(x^2+x-20) is x>4