What is the domain of f(x)=(sqrt(x+6))/(x-7) ?

The domain of f(x)=(sqrt(x+6))/(x-7) is -6 7

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domain of f(x)=(sqrt(x+6))/(x-7)

domain

f (x) = \frac{x + 6}{x - 7}

- 6 \leq x < 7 or x > 7

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 6

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

- 6 \leq x < 7 or x > 7

602.5 - 27.5

x^{4} - 12 x^{2} + x - 1

f (x) = - \frac{3}{2 t ^{(\frac{3}{2})}}

f (x) = x^{2} + 10 x + 24

f (x) = - \frac{2 x}{3} + 10

What is the domain of f(x)=(sqrt(x+6))/(x-7) ?
The domain of f(x)=(sqrt(x+6))/(x-7) is -6<= x<7\lor x>7