/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 106 Describe a procedure for finding... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 106

Describe a procedure for finding \((f \circ g)(x) .\) What is the name of this function?

Short Answer

Expert verified
The procedure involves applying function g to the input first, then applying function f to the result of g(x). The resultant function is commonly known as function composition, or 'f compose g of x'.

Step by step solution

01

Understand Function Composition

Understand that function composition \((f \circ g)(x)\) is a concept that the output from the g function is the input for the f function. Essentially, this means first applying g to the input x (giving g(x)), and then applying f to the result (giving f(g(x))).
02

Procedure to Find Function Composition

To find \((f \circ g)(x)\), start with the rightmost function, which in this case is g. Apply the function g to the input variable x, yielding an output g(x). Now, apply the function f to the output of the first function, or f(g(x)). This result is the composition of function f and g.
03

Provide Name of Function

The operation \((f \circ g)(x)\) is known as function composition, or more simply, the composition of f and g. The resultant function can also be referred to as 'f compose g of x'.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$ x^{2}+y^{2}+3 x-2 y-1=0 $$

Exercises \(129-131\) will help you prepare for the material covered in the next section. The function \(C(t)=20+0.40(t-60)\) describes the monthly cost, \(C(t),\) in dollars, for a cellphone plan for \(t\) calling minutes, where \(t>60 .\) Find and interpret \(C(100)\)

determine whether each statement makes sense or does not make sense, and explain your reasoning. The equation of the circle whose center is at the origin with radius 16 is \(x^{2}+y^{2}=16\)

The bar graph shows your chances of surviving to various ages once you reach 60 The functions $$ \begin{aligned} f(x) &=-2.9 x+286 \\ \text { and } g(x) &=0.01 x^{2}-4.9 x+370 \end{aligned} $$ model the chance, as a percent, that a 60 -year-old will survive to age \(x .\) Use this information to solve Exercises \(101-102\) a. Find and interpret \(f(90)\) b. Find and interpret \(g(90)\) c. Which function serves as a better model for the chance of surviving to age \(90 ?\)

write the standard form of the equation of the circle with the given center and radius. $$ \text { Center }(-3,5), r=3 $$
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.