`f:R-{0} to R` is defined as `f(x)=x+1/x` then show that `(f(x))^(2)=f(x^(2))+f(1)`

f:R->R is defined as f(x)=2x+|x| then f(3x)-f(-x)-4x=

If f: R to R defined as f(x)=3x+7 , then find f^(-1)(-2)

If f: R->R is defined by f(x)=10 x-7 , then write f^(-1)(x) .

If f: R to R is defined by f(x)=(1-x^(2))/(1+x^(2)) then show that f(tantheta)=cos2theta.

f:R->R defined by f(x) = x^2+5

If f: R to R is defined as f(x)=2x+5 and it is invertible , then f^(-1) (x) is

Let a function f:R to R be defined as f (x) =x+ sin x. The value of int _(0) ^(2pi)f ^(-1)(x) dx will be:

A function f: R to R is defined as f(x)=4x-1, x in R, then prove that f is one - one.

A function f :Rto R is defined as f (x) =3x ^(2) +1. then f ^(-1)(x) is :

A function f :Rto R is defined as f (x) =3x ^(2) +1. then f ^(-1)(x) is :