L 1. Find (f. g)(x) if f(x) = x²+2x+4 and g(x) = -2. O (f.g)(x)=x³-4x²-8x+8 O (f.g)(x)=x³+4x²+8x-8 O (f-g)(x) = x³ - 8 O (f-g)(x) = x³ +8

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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**Problem Statement:**

1. Find \((f \cdot g)(x)\) if \(f(x) = x^2 + 2x + 4\) and \(g(x) = x - 2\).

**Options:**

- \((f \cdot g)(x) = x^3 - 4x^2 - 8x + 8\)

- \((f \cdot g)(x) = x^3 + 4x^2 + 8x - 8\)

- \((f \cdot g)(x) = x^3 - 8\)

- \((f \cdot g)(x) = x^3 + 8\)

This problem requires you to perform polynomial multiplication to find the composition \((f \cdot g)(x)\).
Transcribed Image Text:**Problem Statement:** 1. Find \((f \cdot g)(x)\) if \(f(x) = x^2 + 2x + 4\) and \(g(x) = x - 2\). **Options:** - \((f \cdot g)(x) = x^3 - 4x^2 - 8x + 8\) - \((f \cdot g)(x) = x^3 + 4x^2 + 8x - 8\) - \((f \cdot g)(x) = x^3 - 8\) - \((f \cdot g)(x) = x^3 + 8\) This problem requires you to perform polynomial multiplication to find the composition \((f \cdot g)(x)\).
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