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The domain of the function `f(x)=sin^(-1)(x-3)/sqrt(9-x^2)` is

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the domain of the function: f(x)=cos^(-1)(1+3x+2x^2)

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  2. Find the period of f(x)="sinx+tan"x/2+"sin"x/2^2"tan"x/2^3+...+"sin"x/...

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  3. The domain of the function f(x)=sin^(-1)(x-3)/sqrt(9-x^2) is

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  4. If f(x)=cos[pi^2]x +cos[-pi^2]x , where [x] stands for the greatest in...

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  5. Find the period of f(x)=sin((pix)/(n !))-cos((pix)/((n+1)!))

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  6. Find the domain of the function: f(x)=(sin^(-1)x)/x

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  7. If f(x)=3x-5, then f^(-1)(x) is given by (a) 1/((3x-5)) (b) ((x+5))...

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  8. If f(x)=(1−x)^(1/2) and g(x)=ln(x) then the domain of (gof)(x) is

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  9. Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

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  10. Find the natural no. a for which sum (k=1)^nf(a+k)=16(2^n-1) where the...

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  11. Let f(x)=tanx a n d g(f(x))=f(x-pi/4), where f(x)a n dg(x) are real ...

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  12. Find the range of f(x)=tan^(-1)sqrt((x^2-2x+2))

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  13. The domain of f(x) is (0,1) Then the domain of (f(e^x)+f(1n|x|) is (...

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  14. If f(x)=3x-2a n d(gof)^(-1)(x)=x-2, then find the function g(x)dot

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  15. Find the range of f(x)=sqrt(cos^(-1)sqrt((1-x^2))-sin^(-1)x)

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  16. The domain of f(x)=1/(sqrt(|cosx|+cosx)) is

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  17. If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x)...

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  18. Find the domain of the function: f(x)=cos^(-1)((6-3x)/4)+cos e c^(-1)(...

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  19. If f(2x+3y, 2x-7y)=20x, then f(x,y) equals :

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  20. Solve the equation x^2-x+1=1/2+sqrt(x-3/4), w h e r e xgeq3/4

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