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NCERT ENGLISH-RELATIONS AND FUNCTIONS-SOLVED EXAMPLES
- Show that if f : A ->B and g : B ->Care onto, then gof : A ->C is als...
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- Show that if f : A ->Band g : B ->Care one-one, then gof : A ->Cis al...
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- Let f : {2, 3, 4, 5}-> {3, 4, 5, 9}and g : {3, 4, 5, 9} ->{7, 11 , 15}...
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- Show that a one-one function f : {1, 2, 3}-> {1, 2, 3}must be onto.
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- Show that if f: R-{7/5}->R-{3/5}is defined by f(x)=(3x+4)/(5x-7)an...
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- Find gof and fog, if f : R ->Rand g : R ->Rare given by f(x) = cos xan...
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- Show that the function f: R->R , defined as f(x)=x^2 , is neither one-...
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- Show that the function f: N->N given by f(1)=f(2)=1 and f(x)=x-1 for e...
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- If A={1,\ 2,\ 3} , show that an onto function f: A->A must be one-o...
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- Show that f\ : NvecN ,\ given by f(x)={x+,\ \ \ \ \ \ \ \ \ \ \ \ \ ...
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- Show that the function f: N->N , given by f(x)=2x , is one-one but not...
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- Prove that f: R->R , given by f(x)=2x , is one-one and onto.
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- Let R be the relation defined on the set A={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7}...
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- Let A be the set of all 50 students of class X I I in a central scho...
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- Show that the relation R in the set {1, 2, 3}given by R = {(1, 1), (2...
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- Show that the relation R on the set Z of integers, given by R={(a ,\ b...
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- Let T be the set of all triangles in a plane with R a relation in T g...
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- Let L be the set of all lines in a plane and R be the relation in L de...
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- Let A be the set of all students of a boys school. Show that the rela...
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- Show that a is the inverse of a for the addition operation + on R a...
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