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Invertible Functions

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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 .

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

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) .

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