Question

Как узнать при каких значениях переменной не имеет смысла алгебраическая дробь?

Answer 1

Дробь не имеет смысла, если знаменатель равен нулю. Так как на ноль делить нельзя.

Answer 2

Identifying Undefined Values in Algebraic Fractions

To determine the values for which a variable in an algebraic fraction is undefined, you need to consider the denominator of the fraction. The denominator cannot be equal to zero, as division by zero is undefined in mathematics. Therefore, to find the values for which the algebraic fraction is undefined, you need to solve the equation where the denominator is equal to zero.

For example, if you have an algebraic fraction of the form f(x) = g(x) / h(x), where h(x) represents the denominator, the values of x for which the algebraic fraction is undefined are the solutions to the equation h(x) = 0.

This process helps identify the values of the variable that result in an undefined algebraic fraction.