https://file.aiquickdraw.com/mathbot/file/1739493897601zd2i12ni.jpg

The image you provided shows the graph of a function \( h(x) \) and asks to create the graph of its inverse \( h^{-1}(x) \).

### Steps to find the graph of the inverse:
1. **Reflection over the line \( y = x \)**: The graph of the inverse function is a reflection of the original function \( h(x) \) over the line \( y = x \).
   
2. **Exchange the coordinates**: If a point \( (a, b) \) lies on the graph of \( h(x) \), then the point \( (b, a) \) will be on the graph of \( h^{-1}(x) \).

To create the graph of \( h^{-1}(x) \):
- Identify the key points on the graph of \( h(x) \).
- Swap the x- and y-coordinates for each key point to get corresponding points on the graph of the inverse.

Would you like a further explanation or the graphical creation of \( h^{-1}(x) \) based on these principles? Feel free to share additional details for a more tailored solution.

The graph of the function h(x) is given. Create the graph of the inverse function h^{-1}(x).

Learn how to graph the inverse of a function h(x) by reflecting it over the line y = x. This problem involves key concepts of inverse functions and graph transformations. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation