What is the domain of f(x)=(sqrt(x+5))/(x-5) ?

The domain of f(x)=(sqrt(x+5))/(x-5) is -5 5

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domain of f(x)=(sqrt(x+5))/(x-5)

domain

f (x) = \frac{x + 5}{x - 5}

- 5 \leq x < 5 or x > 5

Interval Notation

[- 5, 5) \cup (5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

- 5 \leq x < 5 or x > 5

- - x - 2

f (x) = 3 \cdot 0 - 1

f (x) = lo g_{10} (x^{2} + 11)

4 - (x + 2)^{\frac{2}{3}}

f (x) = \frac{x ^{2} - 25}{2 x ^{2} + 9 x - 5}

What is the domain of f(x)=(sqrt(x+5))/(x-5) ?
The domain of f(x)=(sqrt(x+5))/(x-5) is -5<= x<5\lor x>5