What is the domain of f(x)=(sqrt(x-2))/(2x-10) ?

The domain of f(x)=(sqrt(x-2))/(2x-10) is 2 5

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domain of f(x)=(sqrt(x-2))/(2x-10)

domain

2 \leq x < 5 or x > 5

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

2 \leq x < 5 or x > 5

What is the domain of f(x)=(sqrt(x-2))/(2x-10) ?
The domain of f(x)=(sqrt(x-2))/(2x-10) is 2<= x<5\lor x>5