Find the domain of the function f(x)=1\√{x_2}

Answer 1

The domain of a function is the set of all real numbers for which the function is defined. In the given function f(x)=1/√(x^2), the function is undefined when the denominator is equal to zero.

So, we need to find the values of x for which √(x^2) is not equal to zero. Since the square root of any number is always non-negative, the square root of x^2 will always be greater than or equal to zero. Therefore, the function is defined for all real numbers x except when x=0.

Hence, the domain of the function f(x)=1/√(x^2) is all real numbers except x=0. In interval notation, the domain is (-∞, 0) U (0, ∞).