Composite function
Consider the function:
y = sin 2 ( 2x ) .
Actually, this record means the following chain of functional transformations:
u = 2x -->
v
= sin u
--> y = v
2
,
that can be written by symbols of functional dependences in a general view as:
u
= f1 ( x )
-->
v
= f2 ( u )
-->
y = f3
( v ) ,
or more shortly:
y = f { v [ u ( x ) ] }.
We have here not the one rule of correspondence to transform x into y , but
three consecutive rules (functions), using which we receive y from x. In this case we say that
y is a composite function of x.
E x a m p l e . The following functions are composite ones:
Write, please, the two rest functions like this.
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