Home
Class 12
MATHS
Let A={1,2},\ B={3,6} and f: A->B given ...

Let `A={1,2},\ B={3,6}` and `f: A->B` given by `f(x)=x^2+2\ n d\ g: A->B` given by `g(x)=3xdot` Then we observe that `f\ a n d\ g` have the same domain and co-domain. Also we hve, `f(1)=3=g(1)a n d\ f(2)=6=g(2)dot` Hence `f=gdot`

Text Solution

Verified by Experts

The correct Answer is:
f=g
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|5 Videos

  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|6 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Let A={1,2},\ B={3,6} and f: A->B given by f(x)=x^2+2\ and\ g: A->B given by g(x)=3x . Verify f = g .

Let f and g be real functions defined by f(x)=x/(x+1) a n d g(x)=1/(x+3)dot Describe the functions gof and fog (if they exist).

If A={1,2} and B={3,6} and two functions f: A to B and g: A to B are defined respectively as : f(x) =x^(2) + 2 and g(x) =3x Find whether f=g

Let f(x)=2x +5 and g(x)=x^2+xdot Describe i. f+g ii. f-g iii. fg iv. f//g . Find the domain in each case.

Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)=sqrt(9-x^2)dot Then describe each of the following function: g-f

Let f(x)={x^2-4x+3, ,x<3; x-4,xgeq3 a n d g(x)={x-3,x<4; x^2+2x+2,xgeq4 Describe the function f/g and find its domain.

Le f:[0,\ oo)->R\ a n d\ g: R->R be defined by f(x)=sqrt(x) and g(x)=xdot Find f+g,\ f-g,\ fg\ a n df/gdot

Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)=sqrt(9-x^2)dot Then describe each of the following function: f//g

Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)=sqrt(9-x^2)dot Then describe each of the following function: f+g

Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)=sqrt(9-x^2)dot Then describe each of the following function: f\ g