What is the domain of f(x)=(3x)/(sqrt(5-x)) ?

The domain of f(x)=(3x)/(sqrt(5-x)) is x<5

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domain of f(x)=(3x)/(sqrt(5-x))

domain

f (x) = \frac{3 x}{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

f (x) = \frac{2 x + 1}{3 x - 1}

(- x^{2} + 4) (x + 1)

4 x - 5 y = 20

(- 3.1, - 2.8), (- 4.92, - 3.3)

f (x) = x^{3} + 3 x^{2} + 3 x + 2

What is the domain of f(x)=(3x)/(sqrt(5-x)) ?
The domain of f(x)=(3x)/(sqrt(5-x)) is x<5