1.

Prove that any function f(x) defined in a symmetrical interval (-l, l) can be presented as a sum of an even and an odd function. Rewrite the following functions in the form of a sum of an even and an odd function : (a) f(x)=(x+2)/(1+x^(2))""(b) y=a^x.

Answer»


ANSWER :`(a) F(X)=(2)/(1+x^(2))+(x)/(1+x^(2));`
(B) `a^(x)=(a^(x)+a^(-x))/(2)+(a^(x)-a^(-x))/(2)`


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