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

The domain of f(x)=(sqrt(x))/((x+3)(x-2)) is 0 2

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

domain

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

0 \leq x < 2 or x > 2

Interval Notation

[0, 2) \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = - 3, x = 2

Combine real regions and undefined points for final function domain

0 \leq x < 2 or x > 2

g (x) = 2 x

(- 2, - 3), (- 10, 0)

y = - 2 x + 8

f (x) = 3 x^{2} - 18 x + 26

Y (x) = - \frac{1}{3} x + 6, (- 6, 0)

What is the domain of f(x)=(sqrt(x))/((x+3)(x-2)) ?
The domain of f(x)=(sqrt(x))/((x+3)(x-2)) is 0<= x<2\lor x>2