RANGE (-2, 4 ) HORIZONTAL LINE y = x One-to-one x 5 x. Suppose that g(x) is a relation and that the point (4 ,-2) is on its graph. Then a point on the graph of g -1 is 1._______.

The correct answer is **(-2, 4)**.

If the point \((4, -2)\) is on the graph of the function \(g(x)\), then the point on the graph of the inverse function \(g^{-1}(x)\) would be \((-2, 4)\).

Would you like further details or have any other questions about this topic?

Here are five related questions:
1. How do you determine if a function has an inverse?
2. What is the geometric interpretation of the inverse of a function?
3. How does the line \(y = x\) relate to a function and its inverse?
4. What are the conditions for a function to be one-to-one?
5. Can you find the inverse of the function \(g(x) = 2x + 3\)?

**Tip:** When finding the inverse of a function, simply switch the x and y coordinates of each point on the graph.

Explore how to find a point on the graph of the inverse function given a point on the original function's graph. Learn about inverse functions, one-to-one functions, and their graphical interpretations. Suitable for high school students studying functions and algebra.

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