What is the domain of f(x)= 3/(sqrt(x-2)-5) ?

The domain of f(x)= 3/(sqrt(x-2)-5) is 2 27

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domain of f(x)= 3/(sqrt(x-2)-5)

domain

f (x) = \frac{3}{x - 2 - 5}

2 \leq x < 27 or x > 27

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 27

Combine real regions and undefined points for final function domain

2 \leq x < 27 or x > 27

+ \frac{1}{x + 6}

\frac{2 x ^{2}}{3 x ^{2} - 1}

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

e^{2 t}

\frac{1 + x ^{2}}{1 + x}

What is the domain of f(x)= 3/(sqrt(x-2)-5) ?
The domain of f(x)= 3/(sqrt(x-2)-5) is 2<= x<27\lor x>27