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Function Test -...

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  • Question 1
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    Let f : R → R be a periodic function such that 
    f ( T + x) = 1 + [ 1 - 3f (x) + 3f (x) + 3 ( f (x) )2 - ( f (x) 3 ]1/3 where T is a fixed Positive number , then find the period of f (x).

  • Question 2
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    Directions For Questions

    Let f (x)  and g (x)  are two distinct continues functions such that f (x)  is an  odd function and g (x)  is an even function ∀ x ∈ R and f ' (x) > g ' (x)  ∀ x ∈ R. If a function h (x)   = f (x) + g (x)  is an odd function and

     φ (x)   =  f (g (x) )   +  g (f (x) )

    then,

    ...view full instructions

    Function g (x)  is

  • Question 3
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    Directions For Questions

    Let f (x)  and g (x)  are two distinct continues functions such that f (x)  is an  odd function and g (x)  is an even function ∀ x ∈ R and f ' (x) > g ' (x)  ∀ x ∈ R. If a function h (x)   = f (x) + g (x)  is an odd function and

     φ (x)   =  f (g (x) )   +  g (f (x) )

    then,

    ...view full instructions

    Find the number of solutions of f (x)  =  g (x).

  • Question 4
    1 / -0

    Directions For Questions

    Let f (x)  and g (x)  are two distinct continues functions such that f (x)  is an  odd function and g (x)  is an even function ∀ x ∈ R and f ' (x) > g ' (x)  ∀ x ∈ R. If a function h (x)   = f (x) + g (x)  is an odd function and

     φ (x)   =  f (g (x) )   +  g (f (x) )

    then,

    ...view full instructions

     Find the number of solutions j (x)  = h (x)

  • Question 5
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    If f ( 2x + 3y, 2x - 7y ) = 20 x ,then f (x, y) will be equal to

  • Question 6
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    Let f : R→ R and g : R→ R be two one - one and onto function such 

    that they are the mirror images of each other about the line y = a.

    if h (x) = f (x) + g (x) ,then the function h(x) is

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