WEBVTT
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here we see the function capital H of X,
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and we want to break that down into a composition
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f of G of h. Another way to write
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that is with parentheses. F of G of h
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of x. Okay, so that shows us that
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H of X is going to be the innermost function
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. So if we look back at capital age,
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it looks like absolute value of X could be the
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innermost function. So let's let little h of X
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equal the absolute value of X. Now the question
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is, what is it inside of? Because that
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has to be inside of G. So let's figure
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out g of X. If we let g of
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X equal to plus X, then it looks like
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a chav X was put in there in the place
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of X, so that G of h of X
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would be to plus the absolute value of X.
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Now. Thirdly, we want to find the outermost
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function F. So what is surrounding G of h
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of X? It's being surrounded by the eighth route
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. So if f of X is the eighth route
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of X and if we substitute G of h of
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X into it, then we're substituting two plus absolute
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value backs into the eighth route and we do get
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capital age. That's what we were hoping for.