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If a function g={(1,1),(2,3),(3,5),(4,7)...

If a function `g={(1,1),(2,3),(3,5),(4,7)}` is described by `g(x)=alphax+beta,` find the values of `alphaa n dbetadot`

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. If f(x)=-4-(x-7)^3 , write f^(-1)(x)dot

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  2. If f:{5,6}vec{2,3}a n dg:{2,3},vec{5,6} are given by f={(5,2),(6,3)} a...

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  3. If a function g={(1,1),(2,3),(3,5),(4,7)} is described by g(x)=alphax+...

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  4. Show that f: R-[0]->R-[0] given by f(x)=3/x is invertible and it is in...

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  5. Let A={1,2,..., n} and B={a , b }. Then number of surjections from A...

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  6. If f: Rvec (-1,1) is defined by f(x)=-(x|x|)/(1+x^2),t h e nf^(-1)(x...

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  7. Let f: ZrarrZ be defined by f(n)=3n for all n in Z and g: ZrarrZ be d...

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  8. Let A={x in R :0lt=xlt=1}dot If f: A->A is defined by f(x)={(x ,, if ...

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  9. Let A=[-1,1]dot Then, discuss whether the following functions from A t...

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  10. Let R be a relation on the set A of ordered pairs of positive intege...

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  11. Let A be a finite set. If f: AvecA is an onto function, show that f is...

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  12. Show that the function f: R-{3}->R-{1} given by f(x)=(x-2)/(x-3) is ...

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  13. Show that the function f: Rvec R given by f(x)=x^3+x is a bijection.

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  14. Let f: Nuu{0}->Nuu{0} be defined by f={(n+1 ,, ifn \ i s \ e v e n),(n...

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  15. Let f: N-[1]vecN be defined by, f(n)= the highest prime factor ofn . S...

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  16. Let A={1,2} . Find all one-to-one function from A to A.

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  17. Let f: Rveca n dg: RvecR be defined by f(x)=x+1a n dg(x)=x-1. Show tha...

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  18. Verify assoiativity for the following three mappings : f: N->Z0 (t...

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  19. If the set A contains 5 elements and the set B contains 6 elements, th...

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  20. If the set A contains 7 elements and the set B contains 10 elements, ...

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