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)`
Promotional Banner

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.

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'.

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

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.