What is the domain of f(x)=(sqrt(2x-6))/(x-6) ?

The domain of f(x)=(sqrt(2x-6))/(x-6) is 3 6

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domain of f(x)=(sqrt(2x-6))/(x-6)

domain

f (x) = \frac{2 x - 6}{x - 6}

3 \leq x < 6 or x > 6

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 6

Combine real regions and undefined points for final function domain

3 \leq x < 6 or x > 6

f (x) = \frac{x ^{2} - 16}{x ^{2} - 25}

f (x) = e^{(- x)} + 1

f (x) = 3 x - 2 - 2

f (x) = \frac{4 x}{5} + 2

f (x) = x^{2} + 5 x - 6

What is the domain of f(x)=(sqrt(2x-6))/(x-6) ?
The domain of f(x)=(sqrt(2x-6))/(x-6) is 3<= x<6\lor x>6