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

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

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

domain

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

- 7 \leq x < 7 or x > 7

Solution steps

Find non-negative values for radicals:

x \geq - 7

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

- 7 \leq x < 7 or x > 7

\frac{( x ^{2} + 4 )}{6 x ^{2} - 35 x - 6}

\frac{1}{2} x + 3

12 x + 2 y = - 12

f (x) = 10 + 0.8 x

(8, 5), (16, 11)

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