WEBVTT
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all right. Here we see ass of tea and
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we want to break that down into a composition f
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of G of h. Another way to write that
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would be with parentheses, f of G of h
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, of tea, and we can see from that
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that the innermost function is H. Now, remember
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, when you're looking at acid T and you see
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the squared symbol right here, what that really means
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when we do that with trick functions is it means
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you're going to take the sine function and you're going
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to square it. So that's the order of those
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functions there. So now going back to h of
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tea. That's the innermost function. So if we
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look at this, the innermost part is the co
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sign of tea. So let's let h of t
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equal the co sign of tea Now the next layer
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would be G. H is inside g. So
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what's the next layer? We see the next layer
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, we see a sign. So if we let
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GFT equal the sine of T then noticed that if
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you were to put H inside G, you would
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have co sign inside sign and you would have signed
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of co sign T. That's what we want.
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Finally, we want the outermost Let your f So
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the outermost function is the squaring function. So let's
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let f of t equal t squared so that if
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we were to find f of g of h of
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tea, we would be squaring what we just had
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. And that's what we wanted. That's what s
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empty is