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**Educational Content: Sum, Difference, and Product of Two Functions** --- **Suppose that the functions \( f \) and \( g \) are defined for all real numbers \( x \) as follows:** \[ f(x) = x + 5 \] \[ g(x) = 3x^2 \] **Write the expressions for \((f + g)(x)\) and \((f \cdot g)(x)\) and evaluate \((f - g)(-2)\).** \[ (f + g)(x) = \underline{\quad} \] \[ (f \cdot g)(x) = \underline{\quad} \] \[ (f - g)(-2) = \underline{\quad} \] --- In this exercise, students are tasked with combining two functions through addition, multiplication, and subtraction, and then specifically evaluating the result of a combined function at \( x = -2 \). The image includes interactive buttons such as “Explanation” and “Check” to aid students in understanding and verifying their answers.

**Educational Content: Sum, Difference, and Product of Two Functions** --- **Suppose that the functions \( f \) and \( g \) are defined for all real numbers \( x \) as follows:** \[ f(x) = x + 5 \] \[ g(x) = 3x^2 \] **Write the expressions for \((f + g)(x)\) and \((f \cdot g)(x)\) and evaluate \((f - g)(-2)\).** \[ (f + g)(x) = \underline{\quad} \] \[ (f \cdot g)(x) = \underline{\quad} \] \[ (f - g)(-2) = \underline{\quad} \] --- In this exercise, students are tasked with combining two functions through addition, multiplication, and subtraction, and then specifically evaluating the result of a combined function at \( x = -2 \). The image includes interactive buttons such as “Explanation” and “Check” to aid students in understanding and verifying their answers.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Educational Content: Sum, Difference, and Product of Two Functions** --- **Suppose that the functions \( f \) and \( g \) are defined for all real numbers \( x \) as follows:** \[ f(x) = x + 5 \] \[ g(x) = 3x^2 \] **Write the expressions for \((f + g)(x)\) and \((f \cdot g)(x)\) and evaluate \((f - g)(-2)\).** \[ (f + g)(x) = \underline{\quad} \] \[ (f \cdot g)(x) = \underline{\quad} \] \[ (f - g)(-2) = \underline{\quad} \] --- In this exercise, students are tasked with combining two functions through addition, multiplication, and subtraction, and then specifically evaluating the result of a combined function at \( x = -2 \). The image includes interactive buttons such as “Explanation” and “Check” to aid students in understanding and verifying their answers.
Transcribed Image Text:**Educational Content: Sum, Difference, and Product of Two Functions** --- **Suppose that the functions \( f \) and \( g \) are defined for all real numbers \( x \) as follows:** \[ f(x) = x + 5 \] \[ g(x) = 3x^2 \] **Write the expressions for \((f + g)(x)\) and \((f \cdot g)(x)\) and evaluate \((f - g)(-2)\).** \[ (f + g)(x) = \underline{\quad} \] \[ (f \cdot g)(x) = \underline{\quad} \] \[ (f - g)(-2) = \underline{\quad} \] --- In this exercise, students are tasked with combining two functions through addition, multiplication, and subtraction, and then specifically evaluating the result of a combined function at \( x = -2 \). The image includes interactive buttons such as “Explanation” and “Check” to aid students in understanding and verifying their answers.
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