Let Ax) = √3x and g(x) = x² + 2x - 1. Find f. g. (f.g)(x) = x²+3x + 2x13x - Y3x (f.g)(x) = 3x + 2N3x - 1 (f.g)(x) = xx + ox - Y3x O a Ob Ос

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:**

Let \( f(x) = \sqrt{3x} \) and \( g(x) = x^2 + 2x - 1 \). Find \( (f \cdot g)(x) \).

**Options:**

- **a.** \( (f \cdot g)(x) = x^2 \sqrt{3x} + 2x \sqrt{3x} - \sqrt{3x} \)
- **b.** \( (f \cdot g)(x) = 3x + 2\sqrt{3x} - 1 \)
- **c.** \( (f \cdot g)(x) = x \sqrt{x} + \sqrt{6x} - \sqrt{3x} \)
- **d.** \( (f \cdot g)(x) = x^2 + x - 1 + \sqrt{3x} \)
Transcribed Image Text:**Problem Statement:** Let \( f(x) = \sqrt{3x} \) and \( g(x) = x^2 + 2x - 1 \). Find \( (f \cdot g)(x) \). **Options:** - **a.** \( (f \cdot g)(x) = x^2 \sqrt{3x} + 2x \sqrt{3x} - \sqrt{3x} \) - **b.** \( (f \cdot g)(x) = 3x + 2\sqrt{3x} - 1 \) - **c.** \( (f \cdot g)(x) = x \sqrt{x} + \sqrt{6x} - \sqrt{3x} \) - **d.** \( (f \cdot g)(x) = x^2 + x - 1 + \sqrt{3x} \)
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given functions are

f\left(x\right)=\sqrt{3x}

g\left(x\right)=x^2+2x-1

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