Home
Class 12
MATHS
Let f:{2,3,4,5} rarr {3,4,5,9} and g:{3,...

Let `f:{2,3,4,5} rarr {3,4,5,9}` and `g:{3,4,5,9} rarr{7,11 , 15}` be functions defined as `f(2)=3`,` f(3) =4`, `f(4)=f(5)=5` and `g(3)=g(4)=7` and `g(5)=g(9)=11` . Find `gof`.

Text Solution

Verified by Experts

The correct Answer is:
{(2,7), (3,7), (4, 11), (5, 11)}
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f:{1,3,4}to{3,4,5} and g:{3,4,5}to{6,8,10} be functions defined by f(1)=3,f(3)=4,f(4)=5 , g(3)=6,g(4)=8,g(5)=8 ,then (gof)(3) =……...

Let f:{1,2,3}rarr{3,5,7} and g:{3,5,7}rarr{7,23,47} given by f(1)=3,f(2)=5,f(3)=,g(3)=7,g(5)=23,g(7)=47 (i).Find gof

Let f : {1, 3, 4} rarr {1, 2, 5} and g : {1, 2, 5} rarr (1, 3} be given by f = {(1,2), (3,5), (4,1)} and g = {(1,3), (2,3), (5,1)} Write down g o f

Consider the set A={1,2,3,4,5} , and B={1,4,9,16,25} and a function f:AtoB defined by f(1)=1 , f(2)=4 , f(3)=9 , f(4)=16 and f(5)=25 . Show that f is onto.

Let f, g: R rarr R be functions defined respectively by f(x)=x+1, g(x)=2 x-3 Find fg.

Let f and g be two functions defined by f(x)=sqrt(x-1) ,and g(x)=sqrt(4-x^2) .Find fg

Consider the set A={1,2,3,4,5} , and B={1,4,9,16,25} and a function f:AtoB defined by f(1)=1 , f(2)=4 , f(3)=9 , f(4)=16 and f(5)=25 . Show that f is one-to-one.

Consider the set A={1,2,3,4,5} , and B={1,4,9,16,25} and a function f:AtoB defined by f(1)=1 , f(2)=4 , f(3)=9 , f(4)=16 and f(5)=25 . Does f^-1 exists? Explain.

Let f and g be two functions defined by f(x)=sqrt(x-1) ,and g(x)=sqrt(4-x^2) .Find f-g

Let f and g be two functions defined by f(x)=sqrt(x-1) ,and g(x)=sqrt(4-x^2) .Find f/g