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Let f: N->Z be a function defined as f(x...

Let `f: N->Z` be a function defined as `f(x)=x-1000.` Show that `f` is an into function.

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
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  2. If f(a-x)=f(a+x) " and " f(b-x)=f(b+x) for all real x, where a, b (a g...

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  3. Let f: N->Z be a function defined as f(x)=x-1000. Show that f is an in...

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  4. If f is a function such that f(0)=2, f(1)=3 and f(x+2)=2f(x)-f(x+1) fo...

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  5. A real valued function f(x) satisfies the functional equation f(x-y) ...

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  6. Find the domain of f(x)=1/(sqrt(x+|x|))

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  7. If f: R->R is a function satisfying the property f(2x+3)+f(2x+7)=2AAx ...

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  8. Suppose that F(n + 1) =(2F(n) + 1)/2 for n = 1,2,3,,,, and F(1) = 2. T...

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  9. Find the domain of f(x)=1/(sqrt(x-|x|))

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  10. Domain of the function f(x)=1/sqrt(^10C(x-1) -3. ^10Cx contains the po...

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  11. If f(x) is an even function and satisfies the relation x^2dotf(x)-2f(1...

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  12. Solve ||x-1|-5|lt=2

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  14. The domain of f(x)=cos^(-1)((2-|x|)/4)+[ log(3-x)]^-1 is (a)[-2,6] ...

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  15. Find the domain of f(x)=sqrt((1-|x|)/(|x|-2))

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  17. The domain of the function f(x)=sqrt(log(1/(|sinx|))) (a)R-{-pi,pi}...

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

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  19. The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is (a)[0,pi/2] (b) (0,pi/...

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  20. Solve (3x-2)lt=1/2

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