Question

Найти ОДЗ: b+4/b^2+7

Answer 1

Знаменатель не должен равняться нулю

b²+7≠0

b²≠-7

Но так как b²≥0, оно не может равняться -7 ни при каких значениях. А значит ОДЗ - х - любое.

Answer 2

To find the domain of the given expression, we need to identify any values of "b" that could make the expression undefined. In this case, the expression is a fraction, and fractions are undefined when the denominator becomes zero, as division by zero is not allowed.

So, to find the domain, set the denominator equal to zero and solve for "b":

b^2 + 7 = 0

Now, subtract 7 from both sides:

b^2 = -7

Since we cannot take the square root of a negative number within the real number system, there are no real solutions for "b" that make the denominator zero. Therefore, there are no restrictions on the domain of the expression.

The domain of the expression b + 4 / (b^2 + 7) is all real numbers.