What is the domain of f(x)=sqrt(2x-4)+1/(x-2) ?

The domain of f(x)=sqrt(2x-4)+1/(x-2) is x>2

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domain of f(x)=sqrt(2x-4)+1/(x-2)

domain

f (x) = 2 x - 4 + \frac{1}{x - 2}

x > 2

Interval Notation

(2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x > 2

\frac{x + 6}{x ^{2} + x - 6}

f (x) = \frac{8}{x - 5}

f (x) = 3 cos (x) - 1

f (x) = \frac{x - 3}{x ^{2} + 4 x - 21}

cos (t - 1)

What is the domain of f(x)=sqrt(2x-4)+1/(x-2) ?
The domain of f(x)=sqrt(2x-4)+1/(x-2) is x>2