What is the domain of sqrt((4-x)/(3-x)) ?

The domain of sqrt((4-x)/(3-x)) is x = 4

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domain of sqrt((4-x)/(3-x))

domain

\frac{4 - x}{3 - x}

x < 3 or x \geq 4

Interval Notation

(- \infty, 3) \cup [4, \infty)

Solution steps

Find non-negative values for radicals:

x < 3 or x \geq 4

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x < 3 or x \geq 4

\frac{cot ( 4 x π )}{cos ( \frac{7}{8} )}

x^{3} - 3 x^{2} - x + 4

f (x) = 4 sin (2 x - π)

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

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

What is the domain of sqrt((4-x)/(3-x)) ?
The domain of sqrt((4-x)/(3-x)) is x<3\lor x>= 4