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

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

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

domain

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

x < 2

Interval Notation

(- \infty, 2)

Solution steps

Find non-negative values for radicals:

x \leq 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x < 2

f (x) = 3 x^{2} - 2 x + ln (5 - 4 x)

f (x) = 3 x - 5 + \frac{x}{x - 6}

f (x) = sinh (x)

f (x) = - x^{2} - 2 x

lo g_{3} (x^{2} - 4)

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