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If f\ : R-: R be defined by f(x)=(3-x...

If `f\ : R-: R` be defined by `f(x)=(3-x^3)^(1//3)\ ,` then find `fof(x)`

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. If "f"("x")=x+7 and g(x)=x-7,\ x\ \ R , find (fog)(7)

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  2. What is the range of the function f(x)=[|x-1|]/[x-1]

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  3. If f\ : R-: R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

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  4. If f: R->R is defined by f(x)=3x+2 , find f(f(x)) .

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  5. Let A={1,2,3},\ B={4,5,6,7} and let f={(1,4),\ (2,5),\ (3,6)} be a ...

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  6. If f:{5,\ 6}->{2,\ 3} and g:{2,\ 3}->{5,\ 6} are given by f={(5,\ 2),\...

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  7. Let f: R->R be the function defined by f(x)=4x-3 for all x in R . The...

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  8. Which one the following relations on A={1,\ 2,\ 3} is a function? f...

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  9. Write the domain of the real function f defined by f(x)=sqrt(25-x^2) .

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  10. Let A={a , b , c , d}a n df: AvecA be given by f={(a , b),(b , d),(c ,...

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  11. Let f,g: Rvec be defined by f(x)=2x+1a n d g(x)=x^2-2 for all x in ...

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  12. If the mapping f:{1,\ 3,\ 4}->{1,\ 2,\ 5} and g:{1,\ 2,\ 5}->{1,\ 3} ,...

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

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  14. If f(x)=-4-(x-7)^3 , write f^(-1)(x)dot

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  15. Let A={x in R :-1lt=xlt=1}=B and C={x in R : xgeq0} and let S={(x ,\...

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  16. f: R->R given by f(x)=x+sqrt(x^2) is (a) injective (b) surjective (...

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  17. If f: A->B given by 3^(f(x))+2^(-x)=4 is a bijection, then A

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  18. The function f: R->R defined by f(x)=2^x+2^(|x|) is (a) one-one and on...

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  19. Let the function f: R-{-b}->R-{1} be defined by f(x)=(x+a)/(x+b) , a!=...

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  20. The function f: A->B defined by f(x)=-x^2+6x-8 is a bijection, if A=(-...

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