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The range of the function f(x) = log(...

The range of the function
`f(x) = log_(sqrt5)(3 + cos ((3pi)/4 + x) + cos ((pi)/4 + x) + cos ((pi)/4 - x) - cos ((3pi)/4 - x))` is :

A

`[0,2]`

B

`(0,sqrt5)`

C

`[-2,2]`

D

`[1/sqrt5,sqrt5]`

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Knowledge Check

  • Find the rang of f(x)=log_sqrt5(3+cos((3pi)/4+x)+cos((pi)/4+x)+cos((pi)/4-x)-cos((3pi)/4-x))

    A
    `(0,sqrt5)`
    B
    `[1/sqrt5,sqrt5]`
    C
    `[-2,2]`
    D
    `[0,2]`

  • If f (x) = cos^2 x + cos^2 (pi/3 +x)+ cos x cos (pi/3 + x) then f (x) is :

    A
    odd
    B
    even
    C
    periodic
    D
    `f(0) = f(1)`

  • The period of f(x) = 3 sin (pi x)/(3) + 4 cos (pi x)/(4) is

    A
    6
    B
    8
    C
    24
    D
    `2 pi`
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