What is the domain of f(x)= x/(sqrt(x^2)-3*x-4) ?

The domain of f(x)= x/(sqrt(x^2)-3*x-4) is x -1

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domain of f(x)= x/(sqrt(x^2)-3*x-4)

domain

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

x < - 1 or x > - 1

Interval Notation

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

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x < - 1 or x > - 1

- (\frac{1}{3})^{x}

y = x^{3} - 2 x

\frac{1}{x ^{2} - 4}

f (x) = 5 x + 4

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

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