Home
Class 12
MATHS
Find the inverse of the function f : R r...

Find the inverse of the function `f : R rarr R` defined by f(x) = 4x - 7`.

Text Solution

AI Generated Solution

To find the inverse of the function \( f : \mathbb{R} \to \mathbb{R} \) defined by \( f(x) = 4x - 7 \), we can follow these steps: ### Step 1: Set the function equal to \( y \) Let \( y = f(x) \). \[ y = 4x - 7 \] ...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|70 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Objective Type Questions (one option is correct)|102 Videos

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|11 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J) Aakash Challengers|11 Videos

Similar Questions

Explore conceptually related problems

The function f:R rarr R defined by f(x) = 6^x + 6^(|x| is

Find the inverse of the function: f:[-1,1]rarr[-1,1] defined by f(x)=x|x|

Find the inverse of the function: f:Z to Z defined by f(x)=[x+1], where [.] denotes the greatest integer function.

The function f:R rarr R be defined by f(x)=2x+cosx then f

Find the inverse of the function: f: R rarr (-oo,1)gi v e nb y\ f(x)=1-2^(-x)

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

The function f : R -> R is defined by f (x) = (x-1) (x-2) (x-3) is

Consider a function f:R rarr R defined by f(x)=x^(3)+4x+5 , then

The function of f: R to R defined by f(x)=2^(x)+x^(|x|) , is

Show f:R rarr R defined by f(x)=x^(2)+4x+5 is into