Home
Class 12
MATHS
Prove that the funciton f: R to R define...

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

Answer

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

  • ANNUAL EXAMINATION QUESTION PAPER JUN-2019

    SUBHASH PUBLICATION|Exercise PART E|4 Videos

  • ANNUAL EXAMINATION QUESTION PAPER JUN-2019

    SUBHASH PUBLICATION|Exercise PART C|14 Videos

  • ANNUAL EXAMINATION QUESTION PAPER JUN-2018

    SUBHASH PUBLICATION|Exercise PART E|4 Videos

  • ANNUAL EXAMINATION QUESTION PAPER JUNE-2019 (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise EXERCISE|38 Videos

Similar Questions

Explore conceptually related problems

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

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

Knowledge Check

  • Function f: R rarr R , defined by f(x)=x^(2)+x is

    A
    one-one, onto
    B
    one-one, into
    C
    many one, onto
    D
    many one, into

    • Similar Questions

    Explore conceptually related problems

    Prove that the function f: R to R, given by f (x) =2x, is one-one and onto.

    Let R_(+) be the set of all non-negative real numbers. Show that the function f:R_(+) to[4,oo] given by f(x)=x^(2) +4 is invertible and write the inverse of f.

    Let R_(+) be the set of all non-negative real numbers. Show that the function f: R_(+) to [4,oo] defind by f(x) = x^(2)+4 Is invertible and write the inverse of f.

    Prove that the function f : R to R defined by f(x) = 2x , AA x in R is bijective.

    Prove that the function f : R to R defined by f(x) = 3 - 4x , AA x in R is bijective.

    Let R+ be the set of all non negative real numbers. Show that the function f: R_(+) to [4, infty] given by f(x) = x^2 + 4 is invertible and write inverse of 'f'.

    Draw the graph of the function f: R to R defined by f(x)=x^(3), x in R .

    Home
    Profile