Let `f:RtoR` be given by `f(x)=frac(2x+1)(3)` find
`fof` and show that `f` is invertible.

Show that f:[-1,1]toR given by f(x)=frac(x)(x+2) is one-one.

Show that f:[-1,1]toR given by f(x)=frac(x)(x+2) is one-one.

f:RtoR is defined by f(x)=x^2-3x+2 Find fof(x) and fof(1) .

Consider f:RtoR given by f(x)=3x+2 show that f is invertible. Find the inverse of f

Consider f:R^+to[-5, infty) given by f(x)=9x^2+6x-5 . Show that f is invertible with f^-1(y)=frac(sqrt(y+6)-1)(3)

Given that f(x)=2x^2-3x .(i)Find f(1) and f(2)

A fuction f:RrarrR defined by f(x)=(2x-3)/7 ii.Prove that f is invertible.

Let A=R-{3} and B=R-{1} consider the function f:AtoB defined by f(x)=frac(x-2)(x-3) . Is f one-one and onto? Justify your answer.

A fuction f:RrarrR defined by f(x)=(2x-3)/7 . Find f^-1

Let f:WrarrW be defined as f(n) = n-1 if n is odd and f(n) = n+1 if n is even. Show that f is invertible. Find the inverse of f. Here W is the set of all whole numbers.