What is the domain of x/(sqrt(x-1)-3) ?

The domain of x/(sqrt(x-1)-3) is 1 10

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domain of x/(sqrt(x-1)-3)

domain

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

1 \leq x < 10 or x > 10

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 1

Find undefined (singularity) points:

x = 10

Combine real regions and undefined points for final function domain

1 \leq x < 10 or x > 10

g (x) = x^{3}

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

f (x) = 3 x + 1

f (x) = \frac{- x + 3}{- 9}

f (x) = \frac{2 x + 60}{ln ( 5 x - 20 )}

What is the domain of x/(sqrt(x-1)-3) ?
The domain of x/(sqrt(x-1)-3) is 1<= x<10\lor x>10