Home
Class 12
MATHS
Prove that the function f: R to R defin...

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

Text Solution

Verified by Experts

The correct Answer is:
`therefore f^(-1) (x) = (x-3)/( 4)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY- 2015

    SUNSTAR PUBLICATION|Exercise PART - E (Answer any one question).|4 Videos

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY- 2015

    SUNSTAR PUBLICATION|Exercise PART - C (Answer any ten questions)|14 Videos

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014

    SUNSTAR PUBLICATION|Exercise PART -E|4 Videos

Similar Questions

Explore conceptually related problems

Prove that the funciton 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

  • The function f : R rarr R defined by f(x) = 7^x + 7^|x| is

    A
    a.one- one and onto
    B
    b.many one and onto
    C
    c.one-one and onto
    D
    d.many one and into

    • Similar Questions

    Explore conceptually related problems

    Prove that the function f : R to R defined by f(x) = 2x , 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,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) = 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'.

    Let R+ be the set of all non-negative real number. Show that the faction f : R, to [4, oo) defined f(x) = x^(2) + 4 is invertible. Also write the inverse of f.

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

    Home
    Profile