Question

# Domain of definition of the function, is

Hint:

**Wavy curve method**

The wavy curve method (also called the method of intervals) is a strategy used to solve inequalities of the form .

The method uses the fact that ,can only change sign at its zeroes and vertical asymptotes, so we can use the roots of and to sketch a graph of the function over different intervals.

## The correct answer is:

Given, ,

....... (1)

x(x-1)(x+1) > 0

By wavy curve method

When x> 1, function is positive

When x lies between 0 and 1, function is negative

When x lies between -1 and 0, function is positive

When x lies between < -1 , function is negative

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