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Express the function in the form $ f \circ g $.
$ F(x) = \cos^2 x $
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01:05
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
Campbell University
Oregon State University
Harvey Mudd College
University of Nottingham
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here we have capital F of X equals co sine squared X and another way to write that is co sign of X quantity squared. Okay, we're told to think of capital F of X as a composition of F of G and another way to write that is with parentheses f of g of X. If we write it this way, we can see that G of X is the inside function and f of X is the outside function. So looking back at what we were given, Coastline X is the inside function. So let's let g of x equal co sign of X and then the outside function is the squaring function. So let's let f of x equal x squared. And if we were to put co sign of X into f of X, we would get our original capital F function.
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