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

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

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

domain

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

x < - 2 or x > 1

Interval Notation

(- \infty, - 2) \cup (1, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x \geq 1

Find undefined (singularity) points:

x = 1, x = - 2

Combine real regions and undefined points for final function domain

x < - 2 or x > 1

\frac{1}{cos ( x )}

7 x

- 2 x^{2} - 16 x - 30

x + 2 - 3

3^{x + 5} - 1

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