Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Problem

Express the function in the form $ f \circ g $. …

01:04

Question

Answered step-by-step

Problem 46 Medium Difficulty

Express the function in the form $ f \circ g $.

$ G(x) = \sqrt[3]{\dfrac {x}{1 + x}} $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Heather Zimmers
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Heather Zimmers

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

More Answers

01:37

Jeffrey Payo

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Calculus: Early Transcendentals

Chapter 1

Functions and Models

Section 3

New Functions from Old Functions

Related Topics

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

Discussion

You must be signed in to discuss.
Top Calculus 3 Educators
Lily An

Johns Hopkins University

Heather Zimmers

Oregon State University

Caleb Elmore

Baylor University

Joseph Lentino

Boston College

Calculus 3 Courses

Lectures

Video Thumbnail

04:31

Multivariate Functions - Intro

A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.

Video Thumbnail

12:15

Partial Derivatives - Overview

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

Join Course
Recommended Videos

01:32

Express the function in th…

01:02

Express the function in th…

01:24

Express the function in th…

Watch More Solved Questions in Chapter 1

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66

Video Transcript

all right here we have capital G of X, and we want to think of G of X as a composition of F of G. Another way to write that is with parentheses. F of g of X. So from that we can see that G is the inside function and F is the outside function and there are actually many different ways. We could do this problem correctly. We'll just go over the most obvious one. So the inside function could be what we see inside this cube root sign so we could let g of x b the quotient X over one plus X. And if that's the case, then what's the outside? The outside would be the cube root function, so the outside function F of X would be the cube root of X.

Get More Help with this Textbook
James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups
Study with other students and unlock Numerade solutions for free.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
71
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
49
Hosted by: Alonso M
See More

Related Topics

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

Top Calculus 3 Educators
Lily An

Johns Hopkins University

Heather Zimmers

Oregon State University

Caleb Elmore

Baylor University

Joseph Lentino

Boston College

Calculus 3 Courses

Lectures

Video Thumbnail

04:31

Multivariate Functions - Intro

A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.

Video Thumbnail

12:15

Partial Derivatives - Overview

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

Join Course
Recommended Videos

01:32

Express the function in the form $f \circ g$. $$G(x)=\sqrt[3]{\frac{x}{1+x}}$$

01:02

Express the function in the form $ f \circ g $. $ F(x) = \dfrac{\sqrt[3]{x}}…

01:24

Express the function in the form $f \circ g$. $$H(x)=\sqrt{1+\sqrt{x}}$$
Additional Mathematics Questions

02:37

3) You are a biologist conducting research on the types of birds visiting pa…

03:30

Sketch the phase portraits for the following systems. Determine if the syste…

01:24

Determine if the set of vectors shown to the right is a basis for R3 . If th…

01:24

Determine if the set of vectors shown to the right is a basis for R3 . If th…

01:24

Determine if the set of vectors shown to the right is a basis for R3 . If th…

01:24

Determine if the set of vectors shown to the right is a basis for R3 . If th…

03:23

(1 point) Let f Vx + 3 and find the values below
1. flx + h) = sqrt(x+h+3…

06:31

Use the superposition approach to obtain the general solution for the follow…

02:07

Find the truth sets of each of these predicates where the domain is the set …

08:24

Let f be positive; continuous function with domain R
We define new functi…

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Notes & Exams NEW
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started