`L e tf: R->R :f(x)=|x|`, Prove that `fof=f`

Letf :R rarr R:f(x)=|x|, Prove that fof f=f

Let f : R to R : f (x) =|x| prove that f o f =f

If f : R rarr R be defined by f(x)=|x| , show that fof=f

f: R - {2/3} rarr R , f(x) = (4x+3)/(6x-4). Prove that (fof) (x) = x , what is about f^(-1) ?

Let f:R to R be defined by f(x) =e^(x)-e^(-x). Prove that f(x) is invertible. Also find the inverse function.

Let f:R to R be defined by f(x) =e^(x)-e^(-x). Prove that f(x) is invertible. Also find the inverse function.

Let f:R to R be defined by f(x) =e^(x)-e^(-x). Prove that f(x) is invertible. Also find the inverse function.

If f:R-R is defined by f(x)=2x+7. Prove that f is a bijection. Also, find the inverse of f .

Find fof^-1 and f^-1 of for the function: f(x) = 1/x, x ne0 , also prove that fof^-1=f^-1 of.

Find fof^(-1) and f^(-1) of for the function : f(x)=(1)/(x),xne0 . Also prove that fof^(-1)=f^(-1)of .