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Let f(x)=(x+1)^2-1, xgeq-1. Then the se...

Let `f(x)=(x+1)^2-1, xgeq-1.` Then the set `{x :f(x)=f^(-1)(x)}` is (a)`{0,1,(-3+isqrt(3))/2,(-3-isqrt(3))/2}` (b) `{0,-1}` (c)`{0,1}` (d) `e m p t y`

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the domain and range of f(x)=sqrt(x^2-4x+6)

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  2. Find the range of f(x)=(log)esinx

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  3. Let f(x)=(x+1)^2-1, xgeq-1. Then the set {x :f(x)=f^(-1)(x)} is (a)...

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  4. Find the domain of the following functions: f(x)=sqrt((2/(x^2-x+1)-1/(...

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  5. If (log)3(x^2-6x+11)lt=1, then the exhaustive range of values of x is:...

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  6. Find the domain of the following functions: f(x)=sqrt((x-2)/(x+2))+sqr...

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  7. Given the function f(x)=(a^x+a^(-x))/2(w h e r ea >2)dotT h e nf(x+y)+...

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  8. Find the range of f(x)=(log)3(5-4x-x^2)

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  9. The equation ||x-2|+a|=4 can have four distinct real solutions for x i...

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  10. Find the range of the function f(x)=6^x+3^x+6^(-x)+3^(-x)+2.

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  11. The period of function 2^({x})+sinpix+3^({x/2})+cos2pix (where {x} den...

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  12. Find the domain and range of f(x)=sqrt(x^2-3x+2)

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  13. If f is periodic, g is polynomial function and f(g(x)) is periodic and...

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  14. Solve: x(e^x-1)(x+2)(x-3)^2lt=0.

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  15. If f(x)= (x^m)^(1/n) ,n in N , is an even function, then m is (a)ev...

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  16. Find the range of f(x)=(x^2)/(x^2+1)

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  17. The period of the function |sin^3x/2|+|cos^5x/5| is 2pi (b) 10pi (c)...

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  18. The number of real solutions of the (log)(0. 5)(x)=|x| is (a) 1 (b) ...

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  19. The domain of definition of the function f(x)={x}^({x})+[x]^([x]) is ...

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  20. If f(x)=max{x^3, x^2,1/(64)}AAx in [0,oo),t h e n f(x)={x^2,0lt=xlt=...

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