Home
Class 12
MATHS
Let f : N to R be defined by f(x) = 4x^...

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 f, is invertible. Also find the inverse.

Answer

Step by step text solution for 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 f, is invertible. Also find the inverse. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MODEL QUESTION PAPER 2

    SUBHASH PUBLICATION|Exercise PART E|3 Videos

  • MODEL QUESTION PAPER 2

    SUBHASH PUBLICATION|Exercise PART C|13 Videos

  • MODEL QUESTION PAPER 1

    SUBHASH PUBLICATION|Exercise PART E|3 Videos

  • MODEL QUESTION PAPER 3

    SUBHASH PUBLICATION|Exercise PART E|4 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.

Knowledge Check

  • Let f: R to R be defined by f(x) = x^(4) , then

    A
    f is one-one but not onto
    B
    f is neither one-one nor onto
    C
    f is one-one and onto
    D
    f may be one-one and onto

  • Let f : R to R be defined by f(x)=x^(4) , then

    A
    1.f is one - one and onto
    B
    2.f may be one - one and onto
    C
    3.f is one - one but not onto
    D
    4.f is neither one - one nor onto

  • Let f: N rarr N be defined by f(x)=x^(2)+x+1 then f is

    A
    one-one, onto
    B
    many one onto
    C
    one-one but not onto
    D
    onto but not one-one

    • Similar Questions

    Explore conceptually related problems

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

    If f : R to R is defined by f (x) = 2x + 3 , then f^(-1) x

    If f : R to R is defined by f (x) =x ^(2) - 3x + 2, find f (f (x)).

    Let, f: R rarr R be defined by f(x) = 2x + cos x, then f

    Let f:R to R be defined by f(x) = 1/x AA x in R , then f is ________

    Home
    Profile