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$\operatorname{In} 19-22,$ let $\mathrm{f}(x)=|x| \cdot$ Find $\mathrm{f}(\mathrm{g}(x))$ and $\mathrm{g}(\mathrm{f}(x))$ for each given function.$$g(x)=5-x$$

$f(g(x))=|5-x|$$g(f(x))=5-|x|$

Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 7

Composition of Functions

An Introduction to Geometry

Functions

Linear Functions

Polynomials

McMaster University

University of Michigan - Ann Arbor

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All right. So for this exercise were given the F of X equals the absolute value of X and G of X equals five minus X. Okay. And so were first asked to find f of g of X. So if we plug in G of X, where all the ex terms aren't ffx we yet the absolute value of five minus X. If we want to find g of f of X, we get five minus the absolute value of X and these air actually going to be two different graphs because where the absolute value bars are placed. But, yeah, that is those two.

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