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

[- 1, 3) \cup (4, \infty)

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

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