Home
Class 12
MATHS
The functions f and g are defined as fol...

The functions f and g are defined as follow : `f = {(1,2),(3,5),(4,1) }` and `g = {(2,3),(5,1),(1,3)}` . Find the range of `f` and `g` . Also find the composition function `fog` and `gof`.

Text Solution

Verified by Experts

The correct Answer is:
`{(2,5),(5,2),(1,5)}`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/ False)|10 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - A)|5 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions)|20 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

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

f(x)= (1)/((x-1) (x-2)) and g(x)= (1)/(x^(2)) . Find the points of discontinuity of the composite function f(g(x))?

If the functions f and g defined from the set of real number R to R such that f(x) = e^(x) and g(x) = 3x - 2, then find functions fog and gof. Also, find the domain of the functions (fog)^(-1) and (gof)^(-1) .

Let f and g be two real functions given by f= {(0, 1), (2,), (3, -4), (4, 2), (5, 1)} and g= {(1,0), (2,2), (3,-1), (4,4),(5,3)} . Find Domain.

Function f defined on Z to Z as f = {(1,1),(2,3),(3,5),(4,7)} and f(x) = ax + b then a + b = …… .

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.

Find the range and domain of the function defined by f(x)= (1)/(2- sin 3x)

f : R rarr R , f(x) = cos x and g : R rarr R , g(x) = 3x^(2) then find the composite functions gof and fog.