What is the domain of f(x)=sqrt((x-3)/(x-8)) ?

The domain of f(x)=sqrt((x-3)/(x-8)) is x 8

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domain of f(x)=sqrt((x-3)/(x-8))

domain

f (x) = \frac{x - 3}{x - 8}

x \leq 3 or x > 8

Interval Notation

(- \infty, 3] \cup (8, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 3 or x > 8

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

x \leq 3 or x > 8

f (x) = \frac{7}{x + 2}

\frac{9 x}{16 - x ^{2}}

f (x) = x^{2} - 11, x \geq 0

f (x) = - 6 x + 3

What is the domain of f(x)=sqrt((x-3)/(x-8)) ?
The domain of f(x)=sqrt((x-3)/(x-8)) is x<= 3\lor x>8