What is the domain of (sqrt(x-1))/(sqrt(x-4)) ?

The domain of (sqrt(x-1))/(sqrt(x-4)) is x>4

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domain of (sqrt(x-1))/(sqrt(x-4))

domain

\frac{x - 1}{x - 4}

x > 4

Interval Notation

(4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x > 4

f (x) = \frac{( x + 1 )}{( x + 1 ) \cdot ( 2 x - 3 )}

y = \frac{x}{x ^{2} + 2 x + 2}

x^{2} + 3 x - x

f (x) = 2 + x + 2

f (x) = lo g_{2} (x - 6)

What is the domain of (sqrt(x-1))/(sqrt(x-4)) ?
The domain of (sqrt(x-1))/(sqrt(x-4)) is x>4