What is the domain of ((sqrt(X-1)))/((5/(X-3))) ?

The domain of ((sqrt(X-1)))/((5/(X-3))) is 1 3

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domain of ((sqrt(X-1)))/((5/(X-3)))

domain

\frac{( X - 1 )}{( \frac{5}{X - 3} )}

1 \leq X < 3 or X > 3

Interval Notation

[1, 3) \cup (3, \infty)

Solution steps

Find non-negative values for radicals:

X \geq 1

Find undefined (singularity) points:

X = 3

Combine real regions and undefined points for final function domain

1 \leq X < 3 or X > 3

y = 2 x - 7

\frac{x ^{2} - 16}{x ^{2} + 169}

lo g_{10} (x)

f (x) = x^{2} - x - 2

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

What is the domain of ((sqrt(X-1)))/((5/(X-3))) ?
The domain of ((sqrt(X-1)))/((5/(X-3))) is 1<= X<3\lor X>3