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

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

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

domain

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

x \leq - 4 or x > 3

Interval Notation

(- \infty, - 4] \cup (3, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 4 or x > 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x \leq - 4 or x > 3

(0, - 4), (2, 4)

x^{2} + 1

g (x) = \frac{1}{3 - x}

f (x) = \frac{7 + x}{e ^{c o s (x)}}

f (x) = 6 cos (\frac{x}{2})

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