Home
Class 12
MATHS
Show that f:[-1,1]toR, given by f(x)=(x)...

Show that `f:[-1,1]toR`, given by `f(x)=(x)/(x+2)` is one - one. Find the inverse of the function `f:[-1,1]to` Range f.

Text Solution

Verified by Experts

The correct Answer is:
`f^(-1)(x)=(2x)/(1-x)`
Promotional Banner

Similar Questions

Explore conceptually related problems

If f : [-1,1] rarr R, f(x)=x/(x+2) , show that f is one-one and find the inverseof f : [-1,1] rarr range of f.

Show that f : [0,1]rarr]0,1] defined by f(x)=1/(x^2+1) is invertible and find f^-1(x) .

Show that the function f: R to R defined by f(x)=2x^(2) , is neither one - one onto.

Show that f : R-{a} rarr R-{-1} defined by f(x)= (a+x)/(a-x) is invertible. Find the formula for f^-1(x) .

Find the domain and range of real function f if f(x)=x/|x|

Show that f : [1,2] rarr[0,1] defined by f(x)= sqrt(4x-x^2-3) is invertible. Hence find the formula for f^-1(x) .

Show that the inverse of the function f given by f(x)=(4x+3)/(6x-4), x ne2/3 is f itself.

Let f: R to R be a function defined by f(x)=5x+7 Show that f is invertible. Find the inverse of f.