To solve \( g^{-1}(3) \), we need to know the function \( g(x) \) itself in order to find its inverse. Without knowing the original function \( g(x) \), we can't determine \( g^{-1}(3) \) because finding the inverse involves reversing the operations of \( g(x) \).

Could you provide the explicit form of \( g(x) \) so I can help you compute its inverse and solve for \( g^{-1}(3) \)?

### Questions to expand on this:
1. What is the explicit form of the function \( g(x) \)?
2. Are you working with linear or nonlinear functions in this problem?
3. Do you need help finding the inverse of any particular type of function?
4. Would you like a step-by-step explanation of how to compute function inverses?
5. Are there any constraints or domains for the function \( g(x) \) that I should be aware of?

**Tip:** When finding the inverse of a function, swap \( x \) and \( y \) (where \( y = g(x) \)) and then solve for \( y \) in terms of \( x \).

Learn how to solve for g^{-1}(3) by understanding the concept of inverse functions. This problem explains the process of finding the inverse of a function and discusses relevant mathematical concepts such as function inversion and key formulas. Suitable for students in Grades 10-12.

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