What is the domain of f(x)=sqrt((x+3)/(7-x)) ?

The domain of f(x)=sqrt((x+3)/(7-x)) is -3<= x<7

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domain of f(x)=sqrt((x+3)/(7-x))

domain

f (x) = \frac{x + 3}{7 - x}

- 3 \leq x < 7

Interval Notation

[- 3, 7)

Solution steps

Find non-negative values for radicals:

- 3 \leq x < 7

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

- 3 \leq x < 7

y = - x^{2} - 2

\frac{1}{3} x + 2

\frac{1}{3} x + 4

f (x) = x^{5} - 2 x + 6

\frac{3 x}{x ^{2} - 9}

What is the domain of f(x)=sqrt((x+3)/(7-x)) ?
The domain of f(x)=sqrt((x+3)/(7-x)) is -3<= x<7