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Fundamentals and Functions

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Q.

If f is a periodic function and g is a non-periodic function, then 

Q.

If , is onto, then the interval of S is

Q.

A real valued function f(x) satisfies the functional equation , where a is a given constant and f(0) = 1, f(2a – x) is equal to

Q.

Let . Consider the statements: 

   P : There exists some x  R such that f(x) + 2x = 2(1 + x2)

   Q : There exists some x  R such that 2f(x) + 1 = 2x(1 + x).   

Then,

Q. Fundamentals and Functions?

Fundamentals and Functions