If `f: R to R` is defined by `f(x) = x^(2)+1`, then show that f is not an injection.

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

A function f : R to R is defined by f(x) = 2x^(3) + 3 . Show that f is a bijective mapping .

If f:R to R is defined by f(x) = x^(2)-3x+2, write f{f(x)} .

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

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

If f: R->R be the function defined by f(x)=4x^3+7 , show that f is a bijection.

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

If f: R->R is defined by f(x)=x^2 , write f^(-1)(25) .

If f: R->R is defined by f(x)=x^2 , write f^(-1)(25) .

Let A=R-{2} and B=R-{1} . If f: A->B is a mapping defined by f(x)=(x-1)/(x-2) , show that f is bijective.