What is the domain of f(x)=(sqrt(x-2))/(x-7) ?

The domain of f(x)=(sqrt(x-2))/(x-7) is 2 7

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domain of f(x)=(sqrt(x-2))/(x-7)

domain

f (x) = \frac{x - 2}{x - 7}

2 \leq x < 7 or x > 7

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

2 \leq x < 7 or x > 7

\frac{x + 2}{x - 3}

5 x - 10 - 3

\frac{1 + e ^{x}}{1 - e ^{x}}

x^{2} - 4 x - 12

f (x) = \frac{1}{2} x - 3

What is the domain of f(x)=(sqrt(x-2))/(x-7) ?
The domain of f(x)=(sqrt(x-2))/(x-7) is 2<= x<7\lor x>7