What is the domain of f(x)=(sqrt(x+10))/(x+5) ?

The domain of f(x)=(sqrt(x+10))/(x+5) is -10 -5

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domain of f(x)=(sqrt(x+10))/(x+5)

domain

f (x) = \frac{x + 10}{x + 5}

- 10 \leq x < - 5 or x > - 5

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 10

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

- 10 \leq x < - 5 or x > - 5

f (x) = - x^{2} + 6 x

lo g_{2} (x (2 x - 3))

y 2 (x - 1) (x - 3) = 4

4^{x} - 1

\frac{4 x - 12}{3}

What is the domain of f(x)=(sqrt(x+10))/(x+5) ?
The domain of f(x)=(sqrt(x+10))/(x+5) is -10<= x<-5\lor x>-5