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

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

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

domain

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

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

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

4^{x} - 2

4^{x} - 3

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

4 x - 15

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