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

The domain of f(x)=(x^2)/(sqrt(5-x)) is x<5

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

domain

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

ln (1 + \frac{x + 1}{x + 4})

f (x) = x^{3} - 11 x^{2} + 39 x - 47

f (x) = x^{3} - 3 y = 12

f (x) = 2.5 x + 15.5

y = x^{2} - 8 x + 12

What is the domain of f(x)=(x^2)/(sqrt(5-x)) ?
The domain of f(x)=(x^2)/(sqrt(5-x)) is x<5