Home
Class 12
MATHS
Consider f:R+ rarr[-5,infty)given by f(x...

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

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|10 Videos

  • QUESTION PAPER 2020

    BODY BOOKS PUBLICATION|Exercise EXERCISE|57 Videos

  • THREE DIMENSIONAL GEOMETRY

    BODY BOOKS PUBLICATION|Exercise EXERCISE|5 Videos

Similar Questions

Explore conceptually related problems

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)

Consider f : R rarr R given f(x) = 4x + 3. Show that f is invertible. Find the inverse of f.

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

Consider f:RrarrR , f(x)=4x+5. Show that f is invertible.

Consider f:RtoR given by f(x)=5x+2 Show that f is one-one.

Consider f:[3,infty)to[1,infty) given by f(x)=x^2-6x+10 . Find f^-1

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

If f: RrarrR be defined by f(x)=3x+2.Show that f is invertible.Find f^-1:RrarrR .Hence find f^-1(3) and f^-1(0)

Consider f:RtoR given by f(x)=5x+2 Is f invertible? Justify your answer.

Consider the function f:R rarr R defined by f(x)=|x-1| . Draw the graph of f(x).