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The function f(x)=log(10)((1+x)/(1-x)) s...

The function `f(x)=log_(10)((1+x)/(1-x))` satisfies the equation

A

`f(x+2)-2cd(x+1)+f(x)=0`

B

`f(x+1)+f(x)=f(x(x+1))`

C

`f(x_(1)(x_(2))=f(x_(1)+x_(2))`

D

`f(x_(1))+f_(x_(2))=f((x_(1)+x_(2))/(1+x_(1)x_(2)))`

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Knowledge Check

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    ` f(p) + f(q) = f((p+q)/(1+pq))`
  • The function f(x) = log((1+x)/(1-x)) satisfies the equation

    A
    `f(x+2)-2f(x+1)+f(x) = 0`
    B
    `f(x+1)+f(x) = f[x(x+1)]`
    C
    `f(x_1).f(x_2) = f(x_1+x_2)`
    D
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    B
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    C
    `f(x)+f(x+1)=f(x^(2)+x)`
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