Determine the domain of the function:
Let’s find the domain of the function:
Because there is a denominator, the denominator must be different from zero:
Also, there is a fourth root, so we need the expression inside the root to be non-negative:
The two inequalities are equivalent to the inequality:
It is a square inequality. The roots of the quadratic equation:
Because we are looking for the section above the x-axis and the parabola “cries”, we get that the solution of the inequality is
By absolute value definition, this inequality is equivalent to
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