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

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

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

domain

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

- 3 \leq x < 5

Interval Notation

[- 3, 5)

Solution steps

Find non-negative values for radicals:

- 3 \leq x \leq 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

- 3 \leq x < 5

x - 2 - x^{2}

f (x) = 2 x^{2} - 4 x + 8

f (x) = lo g_{\frac{1}{6}} (x)

lo g_{3} (2 x - 1)

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