Show that the function `f: R ->R` is given by `f(x)=1+x^2` is not invertible.

The function f:R to R given by f(x)=x^(2)+x is

Show that the function f:R rarr given by f(x)=x^(3)+x is a bijection.

Prove that the function f : [ 0,oo)rarrR , given by f(x)=9x^(2)+6x-5 is not invertible. Modify the co-domain of the function f to make it invertible, and hence, find f^(-1) .

Show that the function f:R rarr R given by f(x)=x^(3)+x is a bijection.

Show that the function f: Q->Q defined by f(x)=3x+5 is invertible. Also, find f^(-1) .

Show that the function f given by f(x)=x^(3)-3x^(2)+4x,x in R

Show that the function f:R rarr R given by f(x)=cos x function f:R, is neither one-one nor onto.

Show that the modulus function f:R rarr R , given by f(x)=|x| is neither one-one nor onto.

Prove that the function f: R->R defined as f(x)=2x-3 is invertible. Also, find f^(-1) .

Show that the function f:R-{3}rarr R-{1} given by f(x)=(x-2)/(x-3) is bijection.