The graphs of f and g are given. Find a formula for the function g. g(x) = %D y f(x) = V x -5 5 -5-

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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The graphs of \( f \) and \( g \) are given. Find a formula for the function \( g \).

\[ g(x) = \]

**Graph Explanation:**

- The graph is on a coordinate plane with the x-axis and y-axis ranging from -5 to 5.
- The graph of \( f(x) = \sqrt{x} \) is shown in blue. It is a curve starting at the origin (0,0) and extending rightward into the positive quadrant, reflecting the increasing nature of the square root function.
- The graph of \( g \) is plotted in red. It is a downward-opening curve in the negative quadrant, indicating an inverse transformation or reflection of the square root function across the y-axis.
- Both graphs provide a visual representation of how the two functions relate to each other.
Transcribed Image Text:The graphs of \( f \) and \( g \) are given. Find a formula for the function \( g \). \[ g(x) = \] **Graph Explanation:** - The graph is on a coordinate plane with the x-axis and y-axis ranging from -5 to 5. - The graph of \( f(x) = \sqrt{x} \) is shown in blue. It is a curve starting at the origin (0,0) and extending rightward into the positive quadrant, reflecting the increasing nature of the square root function. - The graph of \( g \) is plotted in red. It is a downward-opening curve in the negative quadrant, indicating an inverse transformation or reflection of the square root function across the y-axis. - Both graphs provide a visual representation of how the two functions relate to each other.
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