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Relation between graphs of a function an...

Relation between graphs of a function and its inverse.

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

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  2. If f(x) = cos(log x) then f(x)f(y)-1/2[f(x/y)+f(xy)] has the value

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  3. Relation between graphs of a function and its inverse.

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  4. A be the set of two positive integers and f: A -> Z^+ (set of positiv...

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  5. Range of f(x) =1/(1-2cosx) is uu[1/3,oo) (4) [-1/3,1]

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  6. Let f:[2,oo) rarr R and g:[-2,oo) rarr R be to two real functions def...

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  7. Find the domain of each of the following real valued functions of real...

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  8. Examples :- If x;yin{1;2;3;4};then which of the following are function...

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  9. Find the domain and range of the function f={(x :1/(1-x^2)): x in R ...

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  10. Express the following functions as sets of ordered pairs and determine...

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  11. Given A={-1,0,2,5,6,11},B={-2,-1,0,18 ,28 ,108} and f(x)=x^2-x-2. Is...

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  12. if for nonzero x, af(x) + bf(1/x) =1/x-5, where a!=b then f(2) =

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  13. If f(x) = (a-x^n)^(1/n), a > 0 and n in N, then prove that f(f(x)) = x...

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  14. If f(x)=(x-1)/(x+1) , then show that f(1/x)=-f(x) (ii) f(-1/x)=-1/(f(...

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  15. Find the domain and range of the function f(x) given by f(x)=(x-2)/(3-...

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  16. Find range of each of the following functions: 1. y=3sinx-2 2. y=2cosx...

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  17. Is g={(1,1),(2,3),(3,5),(4,7)} a function? If this is described by th...

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  18. Let f: R\rightarrowR be such that f(x)=2^x . Determine: Range of f (i...

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  19. Let f: R \rightarrowR be given by f(x)=x^2+3. Find (i) {x :f(x)=28} (i...

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  20. Find the domain and range of the function f(x)=1/(2-sin3x) .

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