What is the domain of (sqrt(x+4))/(x-7) ?

The domain of (sqrt(x+4))/(x-7) is -4 7

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domain of (sqrt(x+4))/(x-7)

domain

\frac{x + 4}{x - 7}

- 4 \leq x < 7 or x > 7

Interval Notation

[- 4, 7) \cup (7, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 4

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

- 4 \leq x < 7 or x > 7

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

(2.3, 3.9), (2.5, 3.1)

f (x) = x^{2} - 3 x - 40

f (x) = x + 4

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

What is the domain of (sqrt(x+4))/(x-7) ?
The domain of (sqrt(x+4))/(x-7) is -4<= x<7\lor x>7