Invertible Functions

Invertible Function|Methods To Find Inverse Of A Function|OMR|Summary

Is every invertible function monotonic?

Every invertible function is (a) monotonic function (b) constant function (c) identity function (d) not necessarily monotonic function

Statement-1 : Let f : [1, oo) rarr [1, oo) be a function such that f(x) = x^(x) then the function is an invertible function. Statement-2 : The bijective functions are always invertible .

If g(x) is invertible function and h(x)=2g(x)+5, then the value of h^(-1) is

Let f : R to R : f(x) =(2x-7)/(4) be an invertible function . Find f^(-1)

Assuming that f(t)=(t-1)/(t+1) is an invertible function then f^(-1)((1)/(c)+1) is equal to:

If f:A rarr B defined by f(x)=sinx-cosx+3sqrt2 is an invertible function, then the correct statement can be

Let g(x) be the inverse of an invertible function f(x), which is differentiable for all x, then g'f(x) is equal to

If f:RrarrR : f(x)=(3x+6)/(8) is an invertible function and find f^(-1) .