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Find the domain and range of f(x)=[log(s...

Find the domain and range of `f(x)=[log(sin^(-1)sqrt(x^2+3x+2))]`.

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The correct Answer is:
Range of f(x) `in` set of all non-positive integers and domain `in [(-3-sqrt(5))/2,-2) cup (-1,(-3+sqrt(5))/2]`
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ARIHANT MATHS-FUNCTIONS-Exercise For Session 5
  1. f(x)=(x^(2)-2)/(x^(2)-3). find the range of f(x).

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  2. f(x)=(x^(2)+2x+3)/x . Find the range of f(x).

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  3. f(x)=abs(x-1)+abs(x-2)+abs(x-3) . Find the range of f(x).

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  4. Find the domain and range of the following function: f(x)=log([x-1])...

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  5. f(x)=cos^-1sqrt(log([x]) ((|x|)/x)) where [.] denotes the greatest int...

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  6. Let f(x)=sqrt([sin 2x] -[cos 2x]) (where I I denotes the greatest inte...

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  7. The range of the function f(x) = sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2], ...

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  8. Range of f(x) =sin^-1(sqrt(x^2+x+1)) is

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  9. f(x)=cos^(-1)(x^(2)/sqrt(1+x^(2)))

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  10. Find the range of f(x)=sqrt(log(cos(sinx)))

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  11. f(x)=(x-1)/(x^(2)-2x+3) Find the range of f(x).

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  12. if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the...

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  13. Range of f(x)=(tan(pi[x^(2)-x]))/(1+sin(cosx))

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  14. f(x)=e^(x)/([x+1]),x ge 0

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  15. f(x)=[abs(sinx)+abs(cosx)], where [*] denotes the greatest integer fun...

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  16. f(x)=sqrt(-x^(2)+4x-3)+sqrt(sin""pi/2(sin""pi/2(x-1)))

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  17. Find the image of the following sets under the mapping f(x)= x^4 -8x^3...

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  18. Find the domain and range of f(x)=log[ cos|x|+1/2],where [.] denotes...

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  19. Find the domain and range of f(x) = sin^-1 (log [x]) + log (sin^-1 [x...

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  20. Find the domain and range of f(x)=[log(sin^(-1)sqrt(x^2+3x+2))].

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