What is the difference when graphing f(x2)) to [f(x)]2 ?
Careful with the typos in your BBC code there; you forgot to [/sup] the first one because you forgot the forward slash
The short answer is that the difference is what you tamper with. It comes back down to bracketing - remember, you always do what's INSIDE the brackets first. Not what's OUTSIDE.
For y=[f(x)]
2, you're finding the function, and then squaring it AFTER you've done that computation.
For y=f(x
2), you're squaring the function BEFORE you apply the function to it.
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For the longer answer, it is easier to illustrate with an example. Open up
Desmos and consider the function f(x)=sin(x)
(Just because it's a bit clearer do illustrate what's going on, and isn't TOO laggy.)
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