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Find the period of the real valued funct...

Find the period of the real valued function satisfying f(x)+f(x+4)=f(x+2)+f(x+6)

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PATHFINDER-FUNCTION-QUESTION BANK
  1. If f:[-20,20]rarr R defined by f(x)=[x^2/a]sin x + cos x is an even fu...

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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. Find the period of the real valued function satisfying f(x)+f(x+4)=f(x...

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  4. Let g(x)=1+x-[x] and f(x)=={(-1, x lt0),(0, x=0),(1, x gt 0):} Then fo...

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  5. Two functions are defined as under, f(x)={(x+1, x le1),(2x+1, 1ltxle2)...

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  6. If f:[1, infty)rarr[2, infty) given by f(x)=x+1/x then find f^(-1)(x),...

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  7. Let f:[1//2, infty)rarr[3//4, infty) where f(x)=x^2-x+1. Find the inve...

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  8. Let g(x) be the inverse of f(x) and f'(x)=1/(1+x^3). Then find g'(x) i...

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  9. If the function f:R rarr A is given by f(x)=(e^x-e^(-|x|))/(e^x+e^(|x|...

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  10. Let f:R rarr R defined by f(x)= x^2/(1+x^2). Prove that f is neither i...

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  11. Let A=R-{3}, B=R-{1} and f: A rarr B defined by f(x)=(x-2)/(x-3). Is '...

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  12. Let f:XtoY be a function defined by f(x)=asin(x+pi/4)+bcosx+c. If f is...

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  13. Find the domain of the following : f(x)=^(16-x)C(2x-1)+ ^(20-3x)P(4x-...

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  14. Find the domain of the following : f(x)=sin^(-1)((3-2x)/5)+sqrt(3-x)

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  15. Find the domain of the following : f(x)=sqrt(x^2-|x|-2)

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  16. Find the domain of the following : f(x)=log(2x)3/(cos^(-1)(2x-1))

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  17. Find the range of the following function f(x)=max{sinx, cosx}

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  18. Find the range of the following function f(x)=|x-1|+|x-2|,-1lexle3 is

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  19. Find the domain and range for f(x)=[log(sin^(-1)sqrt(x^2+3x+2))],

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  20. Determine whether even or odd: f(x)=x((a^x+1)/(a^x-1))

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