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Let `f: R to R` be a periodic function such that `f(T+x)=1" "` where T is a `+[1-3f(x)+3(f(x))^(2) -(f(x))^(3)]^(1/3)` fixed positive number, then period of f(x) is

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MOTION-FUNCTION-Exercise - 2 (Level-I)
  1. If f : [0,oo)to [0,oo) and f(x) =(x)/(1+x), then f is

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  2. Let f: (e, oo) -> R be defined by f(x) =ln(ln(In x)), then

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  3. If f(x) = 2[x] + cosx, then f : R to R is (where [ * ] denotes great...

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  4. If the real-valued function f(x) = px + sinx is a bijective function, ...

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  5. Let S be the set of all triangles and R^+ be the set of positive real ...

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  6. If g:[-2,2]vecR , where f(x)=x^3+tanx+[(x^2+1)/P] is an odd function, ...

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  7. A function f(x)=(2x(sin x))/(2[(x+21 pi)/(pi)]-41)(1) Even function (...

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  8. Let f(x)={:{(4, :, x lt-1),(-4x,:,-1 lex le 0):}. If f(x) is an even ...

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  9. If the graph of the function f(x)=(a^(x)-1)/(x^(n)(a^(x)+1)) is symmet...

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  10. If f(x)=sin(sqrt([a])x) (where [.] denotes the greatest integer functi...

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  11. The fundamental period of function f(x) = [x] + [x + (1)/(3)] + [x + (...

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  12. Let f: R to R be a periodic function such that f(T+x)=1" " where T...

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  13. Fundamental period of the function f(x) = cos (sinx) + cos(cosx) is :

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  14. If f(x+1)+f(x-1)=2f(x)a n df(0),=0, then f(n),n in N , is nf(1) (b) ...

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  15. If 2f(xy) =(f(x))^(y) + (f(y))^(x) for all x, y in R and f(1) =3, then...

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  16. No. of solution ge 7 for

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  17. If the function f:[1,oo)to[1,oo) is defined by f(x)=2^(x(x-1)) then f^...

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  18. Given below is graph of y = f(x) then

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  19. Let f(x) = {{:(x + 1 , :, x £ 0) , (x , : , x gt 0):} and h (x) = |f(...

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  20. Let {:f(x)= {(abs(x+1):,xlt1),(1-x:,x le 1):} and {:f(x)= {(x-2:, xlt0...

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