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1 Find (fog)(x) when f(x)= x +5x+6 and g(x) = x+3 O A. 5x+36x2+81x+55 2+6x+9 O B. 1 2+5x+9 O C. x+2 O D. 6x2 +41x+70 x2+6x+9

1 Find (fog)(x) when f(x)= x +5x+6 and g(x) = x+3 O A. 5x+36x2+81x+55 2+6x+9 O B. 1 2+5x+9 O C. x+2 O D. 6x2 +41x+70 x2+6x+9

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Problem Statement:** Find \((f \circ g)(x)\) when \(f(x) = x^2 + 5x + 6\) and \(g(x) = \frac{1}{x+3}\). **Options:** A. \(\frac{5x^2 + 36x^2 + 81x + 55}{x^2 + 6x + 9}\) B. \(\frac{1}{x^2 + 5x + 9}\) C. \(x + 2\) D. \(\frac{6x^2 + 41x + 70}{x^2 + 6x + 9}\) **Explanation of Subject Matter:** The problem presented involves function composition, where the output of one function \(g(x)\) serves as the input for another function \(f(x)\). This specific operation \((f \circ g)(x)\) requires substituting \(g(x)\) into \(f(x)\). Students need to work through this algebraic procedure to solve the problem correctly. **Additional Notes:** The question is part of an exam outlined in the title "8.2.1 - Test: Semester A Final Part 1," specific to "Sem 1 NC Math IV Part A." A progress meter shows that 8 out of 23 questions have been answered, which suggests this is a question within a broader series of math problems designed to evaluate students' knowledge and problem-solving skills in this context.
Transcribed Image Text:**Problem Statement:** Find \((f \circ g)(x)\) when \(f(x) = x^2 + 5x + 6\) and \(g(x) = \frac{1}{x+3}\). **Options:** A. \(\frac{5x^2 + 36x^2 + 81x + 55}{x^2 + 6x + 9}\) B. \(\frac{1}{x^2 + 5x + 9}\) C. \(x + 2\) D. \(\frac{6x^2 + 41x + 70}{x^2 + 6x + 9}\) **Explanation of Subject Matter:** The problem presented involves function composition, where the output of one function \(g(x)\) serves as the input for another function \(f(x)\). This specific operation \((f \circ g)(x)\) requires substituting \(g(x)\) into \(f(x)\). Students need to work through this algebraic procedure to solve the problem correctly. **Additional Notes:** The question is part of an exam outlined in the title "8.2.1 - Test: Semester A Final Part 1," specific to "Sem 1 NC Math IV Part A." A progress meter shows that 8 out of 23 questions have been answered, which suggests this is a question within a broader series of math problems designed to evaluate students' knowledge and problem-solving skills in this context.
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