Let `f:(-pi/2,pi/2)vecR` be given by `f(x)=(log(sec"x"+tan"x"))^3` then `f(x)` is an odd function `f(x)` is a one-one function `f(x)` is an onto function `f(x)` is an even function

f(x)=(log(sec x+tan x)^(3) then f(x) is one one,onto,even or odd

Statement 1: If f(x) is an odd function,then f'(x) is an even function.Statement 2: If f'(x) is an even function,then f(x) is an odd function.

STATEMENT 1:int_(a)^(x)f(t)dt is an even function if f(x) is an odd function.STATEMENT 2:int_(a)^(x)f(t)dx is an odd function if f(x) is an even function.

Show that the function f(x)=3x+2 is one one and onto

f:RrarrR given by f (x) = 2x is one-one function.

Let f: R-{n}->R be a function defined by f(x)=(x-m)/(x-n) such that m!=n 1) f is one one into function2) f is one one onto function3) f is many one into funciton4) f is many one onto funcionn then

Statement-1: The function f(x) given by f(x)=sin^(-1){log(x+sqrt(x^(2)+1))} is an odd function. Statement:2 The composition of two odd functions is an odd function.

Statement I The function f(x) = int_(0)^(x) sqrt(1+t^(2) dt ) is an odd function and g(x)=f'(x) is an even function , then f(x) is an odd function.

Let f(x)=(x)/(e^(x)-1)+(x)/(2)+1 then f is an ( a ) odd function (b) an even function (c) both odd and even (d) neither odd nor even

Let f(x) be a function such that f(x), f'(x) and f''(x) are in G.P., then function f(x) is