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

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

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01:37

Jeffrey Payo

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Chapter 1

Functions and Models

Section 3

New Functions from Old Functions

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

Johns Hopkins University

Oregon State University

Baylor University

Boston College

Lectures

04:31

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.

12:15

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.

01:32

Express the function in th…

01:02

01:24

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.

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