Can you please explain to me the highlighted graph in the attached photo - why is it graphed that way? Please be detailed. The image shows instructional text and a graph related to solving an equation. Here's the transcription as it might appear on an educational website:---**Equation Solving Example:**To solve for $ y $, take the square root of both sides of the equation:\[ f^{-1}(x) = \sqrt{x} + 9, x < 9 \]*Note: You can tap to view steps on an interactive interface.***Graph Explanation:**The graph displays a curved line, which appears to represent a mathematical function. The x-axis and y-axis are present, with numerical markings at intervals (e.g., 10, 20). The curve starts from the top, moves downward, and bends toward the horizontal axis. A part of the graph is highlighted in yellow, possibly indicating a specific portion or feature of interest. This might relate to the limited domain $ x < 9 $.*You may have interactive options to show or hide the graph for better visibility of its elements.*---

Answered: Solve for y by taking the square root…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Can you please explain to me the highlighted graph in the attached photo - why is it graphed that way? Please be detailed.

The image shows instructional text and a graph related to solving an equation. Here's the transcription as it might appear on an educational website:

---

**Equation Solving Example:**

To solve for $ y $, take the square root of both sides of the equation:

\[ f^{-1}(x) = \sqrt{x} + 9, x < 9 \]

*Note: You can tap to view steps on an interactive interface.*

**Graph Explanation:**

The graph displays a curved line, which appears to represent a mathematical function. The x-axis and y-axis are present, with numerical markings at intervals (e.g., 10, 20). The curve starts from the top, moves downward, and bends toward the horizontal axis. A part of the graph is highlighted in yellow, possibly indicating a specific portion or feature of interest. This might relate to the limited domain $ x < 9 $.

*You may have interactive options to show or hide the graph for better visibility of its elements.*

---

Expert Solution

Explanation

The highlighted graph is here the actual graph of the given equation. Where as other blue colour marked graph is the inverse of the actual given inverse function.

The above attached graph of f^-1(x)=(-x+9)^1/2 is drawn for your reference.

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