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

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

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

domain

g (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

f (x) = 2 sin (\frac{π}{2} x)

\frac{x}{1 - x}

x - 8

f (x) = 50 - 4 x

ln (x + 9)

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