7.) b and c **Problem 7:**Let \( f(x) = 4x - 3 \), \( g(x) = x^2 + 4 \), \( h(x) = x + 5 \). Evaluate the following.*Instructions for Evaluation:*This problem involves three functions, \( f(x) \), \( g(x) \), and \( h(x) \). To solve, you need to:1. Evaluate and manipulate these functions as required to find specific values or expressions.2. Understand the operations involved such as addition, subtraction, multiplication, or composition of functions.3. Ensure to follow any additional instructions not explicitly stated in the initial problem text, such as solving for a specific \( x \) value or performing algebraic operations between the functions. This is a typical function evaluation problem found in algebra or pre-calculus studies, often designed to test the ability to work with basic function operations and transformations. The text presents two mathematical expressions involving functions:b. \( (g \circ h)(-2) \)This expression represents the composition of two functions, \( g \) and \( h \). It indicates that function \( h \) is applied to the input \(-2\), and subsequently, function \( g \) is applied to the result of \( h(-2) \).c. \( \left(\frac{g}{f}\right)(2) \)This expression represents the evaluation of a function defined as the quotient of \( g \) and \( f \). It indicates that this quotient function is evaluated at the input \( 2 \).No graphs or diagrams are present in the image.

Given Functions,fx = 4x-3andgx = x2 + 4,hx = x+5.

Answered: Let f(x) = 4x - 3, g(x) = x² + 4, h(x)…

Math

Algebra

Let f(x) = 4x - 3, g(x) = x² + 4, h(x) = x + 5. Evaluate the following.

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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Question

7.) b and c

**Problem 7:**

Let \( f(x) = 4x - 3 \), \( g(x) = x^2 + 4 \), \( h(x) = x + 5 \). Evaluate the following.

*Instructions for Evaluation:*

This problem involves three functions, \( f(x) \), \( g(x) \), and \( h(x) \). To solve, you need to:

1. Evaluate and manipulate these functions as required to find specific values or expressions.
2. Understand the operations involved such as addition, subtraction, multiplication, or composition of functions.
3. Ensure to follow any additional instructions not explicitly stated in the initial problem text, such as solving for a specific \( x \) value or performing algebraic operations between the functions.

This is a typical function evaluation problem found in algebra or pre-calculus studies, often designed to test the ability to work with basic function operations and transformations.

The text presents two mathematical expressions involving functions:

b. \( (g \circ h)(-2) \)

This expression represents the composition of two functions, \( g \) and \( h \). It indicates that function \( h \) is applied to the input \(-2\), and subsequently, function \( g \) is applied to the result of \( h(-2) \).

c. \( \left(\frac{g}{f}\right)(2) \)

This expression represents the evaluation of a function defined as the quotient of \( g \) and \( f \). It indicates that this quotient function is evaluated at the input \( 2 \).

No graphs or diagrams are present in the image.

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