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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.
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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…
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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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