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RD SHARMA-FUNCTION-Solved Examples And Exercises
- Show that if f1 and f2 are one-one maps from R to R , then the product...
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- Suppose f1 and f2 are non-zero one-one functions from R to R . Is (...
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- Given A={2,\ 3,\ 4} , B={2,\ 5,\ 6,\ 7} . Construct an example of a...
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- Given A={2,\ 3,\ 4} , B={2,\ 5,\ 6,\ 7} . Construct an example of a...
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- Given A={2,\ 3,\ 4} , B={2,\ 5,\ 6,\ 7} . Construct an example of a...
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- Show that f: R->R , given by f(x)=x-[x] , is neither one-one nor onto.
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- Let f: N->N be defined by: f(n)={n+1,\ if\ n\ i s\ od d n-1,\ if\ n\ i...
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- Let R be the set of real numbers. If f: R->R :f(x)=x^2 and g: R->R ...
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- Let : R->R ; f(x)=sinx and g: R->R ; g(x)=x^2 find fog and gof .
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- Let f:{2,3,4,5}vec{3,4,5,9}a n dg:{3,4,5,9}vec{7, 11 , 15} be function...
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- Let f:{1,\ 3,4\ }->{1,\ 2,\ 5} and g:{1,\ 2,\ 5}->{1,\ 3} be given by ...
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- Find gof and fog , if f: R->R and g: R->R are given by f(x)=|x| and g(...
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- If the functions f and g are given by f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)} ...
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- If the function f: R->R be given by f(x)=x^2+2 and g: R->R be given by...
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- If f: R-{7/5}->R-{3/5} be defined as f(x)=(3x+4)/(5x-7) and g: R-{3/5}...
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- If f: R ->Ris defined by f(x) = x^2- 3x + 2, find f(f(x)).
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- If f,g: RvecR are defined respectively by f(x)=x^2+3x+1,g(x)=2x-3, fin...
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- Let f: Z->Z be defined by f(x)=x+2. Find g: Z->Z such that gof=IZ .
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- If f: Z->Z be defined by f(x)=2x for all x in Z . Find g: Z->Z such t...
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- Let f,\ g and h be functions from R to R . Show that (f+g)oh=foh+goh
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