Question

У=5х^6-4х^2 Найдите область определения

Answer 1

Областью определения функци у=5х⁶-4х² служит вся числовая прямая
х∈(-∞;+∞)

Answer 2

Finding the Domain of the Function

To find the domain of the function y = 5x^6 - 4x^2, we need to determine the set of all possible values for x that make the function defined. In other words, we need to find the values of x for which the function is defined and does not result in any division by zero or other undefined operations.

Looking at the given function, there are no divisions or square roots involved, so we don't have to worry about any restrictions on the domain due to those operations.

Therefore, the domain of the function y = 5x^6 - 4x^2 is all real numbers, or R.

Conclusion

The domain of the function y = 5x^6 - 4x^2 is all real numbers, or R.