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# Express the function in the form $f \circ g$.$F(x) = \cos^2 x$

## $g(x)=\cos x$ and $f(x)=x^{2}$

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##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

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### Video Transcript

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.

Oregon State University
##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

Lectures

Join Bootcamp