Let `f:R to R` where `f(x) =sin x.` Show that `f ` is into. Also find the codomain if `f` is onto.

Let f:R rarr R, where f(x)=sin x. Show that f is into.

Let f: R rarr R , where f(x) = sinx , Show that f is into

Let f:R rarr R, where f(x)=sin x, show that f: is into.

Let f: R to R : f (x) = 4x+3 for all x in R . Show that f is invertible and find 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.

Let f : R to R : f(x) =(1)/(2) (3x+1) .Show that f is invertible and find f^(-1)

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

Let the function f:R to R be defined by f(x)=cos x, AA x in R. Show that f is neither one-one nor onto.