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If the domain of f(x) = sqrt (12-3^(x)-...

If the domain of `f(x) = sqrt (12-3^(x)-3^(3-x))+ sin ^(-1) ((2x)/(3 )) is [a,b], ` then `a=……`

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VIKAS GUPTA (BLACK BOOK) ENGLISH-FUNCTION -SUBJECTIVE TYPE PROBLEMS
  1. Let f(x)=x^(3)-3x+1. Then number of different real solutions of f(f(x)...

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  2. If f(x+y+1)={sqrt(f(x))+sqrt(f(y))}^2 and f(0)=1AAx ,y in R ,d e t e ...

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  3. If the domain of f(x) = sqrt (12-3^(x)-3^(3-x))+ sin ^(-1) ((2x)/(3 ...

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  4. The number of elements in the range of the function : y =sin ^(-1) [...

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  5. The number of integers in the range of function f(x)= [sinx] + [cosx] ...

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  6. If P (x) is polynomial of degree 4 such than P (-1)=P (1) =5 and P (-2...

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  7. The number of integral vlaue (s) of k for which the curve y = sqrt ( ...

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  8. Let the solution set of the equation sqrt([x+[x/2]])+[sqrt({x})+[x/3]]...

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  9. For the real number x, let f (x)=(1)/( ""^(2011sqrt(1-x^(2011)))). Fi...

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  10. Find the number of elements contained in the range of the function f (...

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  11. Let f (x,y)= x^(2) - y^(2) and g (x,y)=2xy. such that (f ( x,y))^(2) -...

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  12. Let f (x) = (x+5)/(sqrt(x^(2) +1) ) , then the smallest integral va...

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  13. The number of roots of equation (((x-1)(x-3))/((x-2)(x-4))-e^(x)) (((x...

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  14. Let f (x) =x ^(2)-bx+c,b is an odd positive integer. Given that f (x)=...

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  15. Let f(x) be a continuous function such that f(0) = 1 and f(x)=f(x/7)=x...

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  16. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

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  17. Let f(x)= cx+d/ax+b ​ . Then fof(x) = x provided that.

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  18. Let A = {x|x ^(2) -4x+ 3 lt 0 , x in R} B={x|2^(1-x)+p le 0;x^2-2(p+7...

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  19. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

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  20. If f(x) is an even function then find the number of distinct real numb...

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