What is the domain of f(x)= 1/(sqrt(x-5)-1) ?

The domain of f(x)= 1/(sqrt(x-5)-1) is 5 6

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domain of f(x)= 1/(sqrt(x-5)-1)

domain

f (x) = \frac{1}{x - 5 - 1}

5 \leq x < 6 or x > 6

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 5

Find undefined (singularity) points:

x = 6

Combine real regions and undefined points for final function domain

5 \leq x < 6 or x > 6

f (x) = 3 x - 1, 2 x, x \geq 1, x < 1

g (x) = 3 x + 4

y = lo g_{4} (x - 2)

y = ln (3 x^{2} - 2 x - 1)

2 (4 x - 9) + 5

What is the domain of f(x)= 1/(sqrt(x-5)-1) ?
The domain of f(x)= 1/(sqrt(x-5)-1) is 5<= x<6\lor x>6