What is the composition form f(g(x)) for the following Chain Rule function, where the inner function u=g(x), and the outside y = f(u)?

Question

#y=tan(pix)#

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Answer 1 · 2018-02-26T15:57:22

#f(x)=tanx#

#g(x)=pix#

We have #tan(pix)#.

Here, #f(u)# will be #tan(u)#, where #u=pix#, and so:

#f(x)=tanx#

#g(x)=pix#, and therefore

#f(g(x))=tan(pix)#