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f:(2,3)->(0,1) defined by f(x)=x-[x],w...

`f:(2,3)->(0,1)` defined by `f(x)=x-[x]`,where`[dot]` represents the greatest integer function.

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
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  2. Find the inverse of the function: f: R rarr (-oo,1)gi v e nb y\ f(x)=1...

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  3. f:(2,3)->(0,1) defined by f(x)=x-[x],where[dot] represents the great...

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  4. Find the inverse of the function: f(x)={(x^3-1, ,x<2), (x^2+3,xgeq2)}

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  5. Find the inverse of the function: f:[-1,1]rarr[-1,1] defined byf(x)=x|...

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  6. If f(x+y+1)={sqrt(f(x))+sqrt(f(y))}^2 and f(0)=1AAx ,y in R , d e t e...

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  7. Let f(x)=(9^x)/(9^x+3) . Show f(x)+f(1-x)=1 and, hence, evaluate. f(1/...

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  8. If f(x+2a)=f(x-2a),then prove that f(x) is periodic

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  9. Let g(x) be a function such that g(a+b)=g(a)dotg(b)AAa , b in Rdot If...

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  10. Find the value of x for which function are identical. f(x)=tan^(-1)x+t...

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  11. The period of f(x)=[x]+[2x]+[3x]+[4x]+[n x]-(n(n+1))/2x , where n in ...

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  12. Plot y=|x|,y=|x-2|, and y=|x+2|

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  13. If f(x+1/2)+f(x-1/2)=f(x)fora l lx in R , then the period of f(x) is ...

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  14. If for all real values of ua n dv ,2f(u)cosv=f(u+v)+f(u-v), prove that...

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  15. If the period of (cos(sin(n x)))/(tan(x/n)),n in N ,i s6pi , then n= ...

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  16. If f: X rarr[1,oo) is a function defined as f(x)=1+3x^3, find the su...

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  17. Find the period (if periodic) of the following function ([.] denotes ...

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  18. Solve (x-2)[x]={x}-1, (where [x]a n d{x} denote the greatest integer...

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  19. The domain of f(x)=ln(a x^3+(a+b)x^2+(b+c)x+c), where a >0, b^2-4ac=0,...

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  20. If f: R^+ to R , f(x) + 3x f(1/x)= 2(x+1),t h e n find f(x)

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