Invertible Functions

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

Let f(x)=e^(x^(3)-x^(2)+x) be an invertible function such that f^(-1)=g ,then-

Let F be a real valued invertible function such that f((3x-5)/(x+2))=100x+13, x!=2 .Then find the value of f^(-1)(2013)

If R rarr R is an invertible function such that f(x) and f^(-1)(x) are symmetric about the line y=-x, then (a) f(x) is odd (b) f(x) and f^(-1)(x) may be symmetric (c) f(c) may not be odd (d) non of these

Let y=f(x) be an invertible function such that x -intercept of the tangent at any point P(x.y) on y=f(x) is equal to the square of abscissa of the point of tangency.If f(2)=1, then f-1((5)/(8))=

Let f(x): R^+>R^+ is an invertible function such that f'(x)>0 and f''(x)>0AAx in [1,5] If f(1)=1 and f(5)=5 and area under the curve y=f(x) on x-axis from x=1 to x=5 is 8 sq. units, then area bounded by y=f^(-1)(x) on x-axis from x=1tox=5 is a. 8 b. 12 c. 16 d. 20

Let f(x)=2cos^(2)x+sqrt(3)*sin2x+1. Then, its domain and range,so that f is an invertible function

Is every invertible function monotonic?

Let f be an invertible function.Show that the inverse of f^(-1) is f