### Problem Set#### a. Solve the equation $ f(x) = 2 $ for $ x $.If there are multiple solutions, enter the solutions as a comma-separated list (e.g., 1,2,3).\[ x = \underline{\hspace{4cm}} \]---#### b. Solve the equation $ g(x) = -3 $ for $ x $.If there are multiple solutions, enter the solutions as a comma-separated list (e.g., 1,2,3).\[ x = \underline{\hspace{4cm}} \] The image displays a Cartesian coordinate system graph with the $x$-axis and $y$-axis labeled. It features two functions: a blue parabola labeled $f$ and a red line labeled $g$.### Description of the Graph:- **Axes:** - The horizontal axis is the $x$-axis, ranging from $-5$ to $5$. - The vertical axis is the $y$-axis, ranging from $-4$ to $14$. - Both axes have grid lines indicating each unit interval.- **Parabola ($f$):** - The blue curve represents a quadratic function, typically taking the form $y = ax^2 + bx + c$. - The vertex of the parabola appears to be at the point $(0, 1)$, suggesting a minimum point. - The parabola opens upwards and is symmetric around the $y$-axis.- **Line ($g$):** - The red line represents a linear function, which can be expressed as $y = mx + c$. - The line intersects the $y$-axis slightly below $2$. - It intersects the parabola at two points, indicating potential solutions to the equation where the quadratic and linear functions are equal.This graph effectively demonstrates the intersection of a linear and quadratic function, which is a common topic in algebra and pre-calculus courses focusing on solving systems of equations graphically.

Given: The graph of function f and g as To find: a. Solution of equation fx=2, b. Solution of…

a. Solve the equation f(x) = 2 for x. If there are multiple solutions, enter the solutions as a comma-separated list (e.g., 1,2,3). x = b. Solve the equation g(x) = comma-separated list (e.g., 1,2,3). 3 for x. If there are multiple solutions, enter the solutions as a x =

a. Solve the equation f(x) = 2 for x. If there are multiple solutions, enter the solutions as a comma-separated list (e.g., 1,2,3). x = b. Solve the equation g(x) = comma-separated list (e.g., 1,2,3). 3 for x. If there are multiple solutions, enter the solutions as a x =

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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Question

### Problem Set

#### a. Solve the equation $ f(x) = 2 $ for $ x $.

If there are multiple solutions, enter the solutions as a comma-separated list (e.g., 1,2,3).

\[ x = \underline{\hspace{4cm}} \]

---

#### b. Solve the equation $ g(x) = -3 $ for $ x $.

If there are multiple solutions, enter the solutions as a comma-separated list (e.g., 1,2,3).

\[ x = \underline{\hspace{4cm}} \]

The image displays a Cartesian coordinate system graph with the $x$-axis and $y$-axis labeled. It features two functions: a blue parabola labeled $f$ and a red line labeled $g$.

### Description of the Graph:

- **Axes:**
- The horizontal axis is the $x$-axis, ranging from $-5$ to $5$.
- The vertical axis is the $y$-axis, ranging from $-4$ to $14$.
- Both axes have grid lines indicating each unit interval.

- **Parabola ($f$):**
- The blue curve represents a quadratic function, typically taking the form $y = ax^2 + bx + c$.
- The vertex of the parabola appears to be at the point $(0, 1)$, suggesting a minimum point.
- The parabola opens upwards and is symmetric around the $y$-axis.

- **Line ($g$):**
- The red line represents a linear function, which can be expressed as $y = mx + c$.
- The line intersects the $y$-axis slightly below $2$.
- It intersects the parabola at two points, indicating potential solutions to the equation where the quadratic and linear functions are equal.

This graph effectively demonstrates the intersection of a linear and quadratic function, which is a common topic in algebra and pre-calculus courses focusing on solving systems of equations graphically.

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