Home
Class 12
MATHS
Let f: NvecR be a function defined as f(...

Let `f: NvecR` be a function defined as `f(x)=4x^2+12 x+15.` Show that `f: NvecS ,` where `S` is the range of `f,` is invertible. Also find the inverse of `f`

Text Solution

Verified by Experts

The correct Answer is:
`f^(-1) = (sqrt(x-6) -3)/( 2)`.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS & FUNCTIONS

    OSWAAL PUBLICATION|Exercise BINARY OPERATIONS|2 Videos
  • PROBABILITY

    OSWAAL PUBLICATION|Exercise Random Variable and Its Probability Distribution ( Long Answer Type Questions -I )|14 Videos
  • SOLVED PAPER MARCH - 2018

    OSWAAL PUBLICATION|Exercise PART - E|3 Videos

Similar Questions

Explore conceptually related problems

Let f: N to R be defined by f(x) = 4x^(2) + 12x+ 15 . Show that f: N to S where S is the range of function f, is invertible. Also find the inverse of f.

Let f : N to R be defined by f(x) = 4x^(2) + 12x + 15 , show that f: N to S , where S is the function, is invertible. Also find the inverse.

Let f : R rarr R be a function defined by f(x) = x^3 + 5 . Then f^-1(x) is

Let f:RtoR be a function defined by : f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is :

Let f : R to R be a function defined by f(x) = 4x - 3 AA x in R . Then Write f^(-1) .

Let f:NtoY be a function defined as f(x)=4x+3 , where Y={yinN,y=4x+3 for some x inN }. Show that f is invertible and its inverse is :

Let f:[2, oo)rarrR be the function defined by f(x)=x^(2)-4x+5 , then the range of f is

Prove that the funciton f: R to R defined by f(x)=4x+3 is invertible and find the inverse of f.

OSWAAL PUBLICATION-RELATIONS & FUNCTIONS-BINARY OPERATIONS (Long Answer Type Questions )
  1. Let f: NvecR be a function defined as f(x)=4x^2+12 x+15. Show that f: ...

    Text Solution

    |