What is the domain of f(x)=sqrt((x+5)/(2x-4)) ?

The domain of f(x)=sqrt((x+5)/(2x-4)) is x 2

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domain of f(x)=sqrt((x+5)/(2x-4))

domain

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

x \leq - 5 or x > 2

Interval Notation

(- \infty, - 5] \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 5 or x > 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x \leq - 5 or x > 2

f (x) = lo g_{10} (x - 5)

f (x) = - x^{2} + 18 x - 1

sinh (x)

3 sin (2 x)

x + 16

What is the domain of f(x)=sqrt((x+5)/(2x-4)) ?
The domain of f(x)=sqrt((x+5)/(2x-4)) is x<=-5\lor x>2