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Let f:[-pi/3, 2pi/3] rarr [0,4] be a fun...

Let `f:[-pi/3, 2pi/3] rarr [0,4]` be a function defined as `f(x)=sqrt3 sinx-cosx+2`. Then `f^-1(x)` is given by

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. The domain of f(x)="log"|logx|i s (0,oo) (b) (1,oo) (c) (0,1)uu(1,oo...

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  2. The domain of the function f(x)=(sin^(-1)(3-x))/(I n(|x|-2)i s (a) [2...

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  3. Let f:[-pi/3, 2pi/3] rarr [0,4] be a function defined as f(x)=sqrt3 si...

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  4. The domain of f(x)=((log)2(x+3))/(x^2+3x+2) is (a) R-{-1,2} (b) (-2,o...

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  5. Let f: XrarrY,f(x)=sinx+cosx+2sqrt(2) be an invertible function. Then ...

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  6. If f(x)=a x^7+b x^3+c x-5,a , b , c are real constants, and f(-7)=7, ...

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  7. If g(x)=x^2+x-2 and 1/2gof(x)=2x^2-5x+2, then which is not a possible ...

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  8. If f: R->R is an invertible function such that f(x) and f^-1(x) are sy...

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  9. Let f: R->R and g: R->R be two given functions such that f is inject...

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  10. f: NrarrN, where f(x)=x-(-1)^x. Then f is: (a)one-one and into (b)ma...

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  11. Find the range of f(x) =3 sin sqrt(pi^2/16 - x^2).

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  12. A function f:RtoR where R is the set of real numbers,is defined by f(x...

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  13. For any real number x , [x] denotes the largest integer less than or e...

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  14. The domain of the function f(x)=(log)e{(log)(|sinx|)(x^2-8x+23)-{3/((l...

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  15. Let f be an injective map. with domain {x, y, z} and range {1, 2, 3}, ...

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  16. If f(x)=x^9-6x^8-2x^7+12 x^6+x^4-7x^3+6x^2+x-3, find f(6)dot

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  17. Draw the graph of y=|x|^(1/2) for -1lt=x<1.

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  18. Find the domain and range of the function f(x)=(x^2)/(1+x^2) . Is the ...

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  19. Let E={1,2,3,4},F={1,2} then the number of onto functions from E to F ...

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  20. The range of f(x)=sec^(-1)((log)3tanx+(log)(tanx)3) is (a) [pi/3,pi/2...

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