What is the domain of f(x)=(sqrt(x-1))/((x+2)(x-3)) ?

The domain of f(x)=(sqrt(x-1))/((x+2)(x-3)) is 1 3

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domain of f(x)=(sqrt(x-1))/((x+2)(x-3))

domain

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

Combine real regions and undefined points for final function domain

1 \leq x < 3 or x > 3

What is the domain of f(x)=(sqrt(x-1))/((x+2)(x-3)) ?
The domain of f(x)=(sqrt(x-1))/((x+2)(x-3)) is 1<= x<3\lor x>3