Question

Y=3^log3x +1 1)ОДЗ 2) Упростить 3)Е(y)

Answer 1

Решение задания приложено

Answer 2

To find the domain of the function Y = 3^(log₃(x + 1)):

1. Domain (ОДЗ): Since logarithms are defined only for positive numbers, we need to ensure that the expression inside the logarithm is positive. In this case, x + 1 must be greater than 0:

x + 1 > 0

Solving for x, we get:

x > -1

Therefore, the domain of the function is x > -1.

2. Simplification: The expression Y = 3^(log₃(x + 1)) can be simplified using the logarithmic properties. The logarithm base can be canceled out with the exponentiation base, leaving us with:

Y = x + 1

3. Expected value (E(Y)): Since Y is equal to x + 1, the expected value of Y would simply be the expected value of x plus 1. Without any further information or a specific distribution for x, we cannot determine the expected value.