What is the domain of f(x)=sqrt((x+3)/(x-4)) ?

The domain of f(x)=sqrt((x+3)/(x-4)) is x 4

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domain of f(x)=sqrt((x+3)/(x-4))

domain

f (x) = \frac{x + 3}{x - 4}

x \leq - 3 or x > 4

Solution steps

Find non-negative values for radicals:

x \leq - 3 or x > 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x \leq - 3 or x > 4

f (x) = (\frac{2 x ^{2} - 6 x + 4}{- 3 x - 5})

f (x) = e^{- 2 x} - 3

14 - x

arcsin (ln (x))

\frac{- 6 x - 49}{7 x + 29}

What is the domain of f(x)=sqrt((x+3)/(x-4)) ?
The domain of f(x)=sqrt((x+3)/(x-4)) is x<=-3\lor x>4