Home
Class 11
MATHS
Let f and g be two real functions given ...

Let f and g be two real functions given by
`f={(0,1),(2,0),(3,-4),(4,2),(5,-1)}`
and `g={(1,0),(2,2),(3,-1),(4,4),(5,3)}`
then the domain of `f*g` is given by ..........

Text Solution

Verified by Experts

We have `f={(0,1),(2,0),(3,-4),(4,2),(5,-1)}`
and `g={(1,0),(2,2),(3,-1),(4,4),(5,3)}`
`:.` Domain of `f={0,2,3,4,5}`
and Domain of g ={1,2,3,4,5}
`:.` Domain of `(f*g)` =Domain of `fnn` Domain of g={2,3,4,5}
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR|Exercise True /False|5 Videos

  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|12 Videos

  • PROBABILITY

    NCERT EXEMPLAR|Exercise Matching The Columns|2 Videos

  • SEQUENCE AND SERIES

    NCERT EXEMPLAR|Exercise Match the comumms|2 Videos

Similar Questions

Explore conceptually related problems

If f and g are two real functions defined by f={(a,1)(b,0),(c,8),(0,4)} and g={(a,5),(c,-3),(b,6)(0,2)} then dom ((sqrt(g))/(f)) is

If the mappings f and g are given by : f={(1,2),(3,5),(4,1)} and g={(2,3),(5,1),(1,3)} , write fog.

If the mapping f and g are given by f={(1,2),(3,5),(4,1)} , g={(2,3),(5,1),(1,3)} , then write down pairs in the mapping f o g and g o f.

If the mapping f and g are given by f = {(1, 2), (3, 5), (4, 1)} and g = {(2, 3), (5, 1), (1, 3)}, write down pairs in the mapping fog and gof.

Let A ={1,2,3,4}. Let f : A to A " and " g : A to A defined by f : ={(1,4),(2,1),(3,3),(4,2)} and g = {(1,3),(2,1),(3,2),(4,4)} Find (i) g o f (ii) f o g (iii) f o f .

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 gof.

Let f={(1,6),(2,5),(4,3),(5,2),(8-1),(10,-3)} and g={(2,0),(3,2),(5,6),(7,10),(8,12),(10,16)} . Find (i) dom (f+g) (ii) dom ((f)/(g)) .

If the mappings f and g are given by f = {(1,2),(3,5),(4, 1)}, g= {(2,3), (5, 1), (1,3)}, then write down pairs in the mappings f o g and go f.

Let f and g be two real values functions defined by f(x)=x+1 and g(x)=2x-3 Find 1)f+g,2 ) f-g,3 ) (f)/(g)

If the functions f and g are given by f={(1,2),(3,5),(4,1)} and g={(2,3),(5,1),(1,3)}, find range of f and g. Also,write down fog and go f as sets of f ordered pairs.

Home
Profile