**Educational Website Transcription:****Title: Understanding Function Inverses and Domains****Problem Statement:**Determine the algebraic inverse of the following function and state the domain and range of both. Plot both the function and its inverse on the same graph showing appropriate symmetry and all vertices. Label both graphs.**Given Function:**\[ f(x) = 4x + 1, \, x < -1 \]**Attempted Inverse Solution:**\[ y = 4x + 1 \]\[ x = \frac{1}{4}y + \frac{1}{4} \]**Notes:**1. **Graph Explanation:** - The graph consists of two axes intersecting at the origin, each with an arrow indicating the positive direction. - The function is linear and is represented by a line.2. **Formulas Provided Below the Main Problem:** - For different mathematical problems, use the formulas: - \( A = a_0(1 \pm r)^t \) - \( A = Pe^{rt} \) - \( A = P \left(1 \pm \frac{r}{n}\right)^{nt} \)Make sure to understand the way these functions and formulas interact with each other and practice plotting them for a deeper comprehension of their behavior in varying scenarios.

Name: **Educational Website Transcription:****Title: Understanding Function
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: **Educational Website Transcription:****Title: Understanding Function Inverses and Domains****Problem Statement:**Determine the algebraic inverse of the following function and state the domain and range of both. Plot both the function and its invers