What is the domain of (4x-1)/(sqrt(5-x)) ?

The domain of (4x-1)/(sqrt(5-x)) is x<5

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domain of (4x-1)/(sqrt(5-x))

domain

\frac{4 x - 1}{5 - x}

x < 5

Interval Notation

(- \infty, 5)

Solution steps

Find non-negative values for radicals:

x \leq 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x < 5

8 x - y = - 16, (0, 0)

\frac{2 x}{x - 6}

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

f (x) = - x^{2} - 4 x + 12

x + 1 + \frac{1}{x ^{2} - 1}

What is the domain of (4x-1)/(sqrt(5-x)) ?
The domain of (4x-1)/(sqrt(5-x)) is x<5