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

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

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

domain

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

- 1 \leq x < 0 or x > 3

Interval Notation

Solution steps

Find non-negative values for radicals:

- 1 \leq x < 0 or x > 3

Find undefined (singularity) points:

x = 3, x = 0

Combine real regions and undefined points for final function domain

- 1 \leq x < 0 or x > 3

f (x) = 2^{a r c s i n (x)}

V (x) = - 12 x^{2} + 96 x - 84

2 x - 14

2 x - 11

(x - 1) (x - 6)

What is the domain of f(x)=sqrt((x+1)/(x^2-3x)) ?
The domain of f(x)=sqrt((x+1)/(x^2-3x)) is -1<= x<0\lor x>3