What is the domain of f(x)=sqrt((x+1)/(x^2-7x+12)) ?

The domain of f(x)=sqrt((x+1)/(x^2-7x+12)) is -1 4

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domain of f(x)=sqrt((x+1)/(x^2-7x+12))

domain

f (x) = \frac{x + 1}{x ^{2} - 7 x + 12}

- 1 \leq x < 3 or x > 4

Interval Notation

Solution steps

Find non-negative values for radicals:

- 1 \leq x < 3 or x > 4

Find undefined (singularity) points:

x = 4, x = 3

Combine real regions and undefined points for final function domain

- 1 \leq x < 3 or x > 4

f (x) = \frac{9}{x - 7}

f (x) = 2 x^{2} - 4 x - 3

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

f (x) = 2 - x + 2

y = - 1, x \geq 0

What is the domain of f(x)=sqrt((x+1)/(x^2-7x+12)) ?
The domain of f(x)=sqrt((x+1)/(x^2-7x+12)) is -1<= x<3\lor x>4