Find the domain related value for the given logarithmic and inverse sine function.

Solution:

For logarithmic functions:

Argument inside log must be greater than 0.

For inverse sine function:

The expression inside sin⁻¹(x) must satisfy:

−1 ≤ x ≤ 1

So domain is found by combining:

• Logarithm condition
• Inverse sine condition
• Any denominator not equal to zero

The exact domain depends on the complete function expression.