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If f(x) = loge ((1-x)/(1+x)) , then prov...

If f(x) = `log_e ((1-x)/(1+x))` , then prove that `f(x) + f(y) = f((x + y)/(1 + xy))`

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MBD PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Identify the constant function if any. {(a,2),(b,3),(c,4)}

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  2. Identify the constant function if any. {(a,3),(b,1),(a,4),(c,2)}

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  3. Identify the constant function if any. {(a,1),(b,1),(c,1)}

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  4. Identify the constant function if any. {(a,1),(b,1),(c,1)}

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  5. Identify the constant function if any. {(a,a),(b,b),(c,c)}

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  6. Find f(sqrt2) and f(-sqrt3) for the function

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  7. Find x for which the value of f(x) = x^2-4x+3 is 0.

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  8. Find x for which the value of f(x) = x^2-4x+3 is -1.

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  9. Find the value/values of x for which the following are not defined. ...

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  10. Find the value/values of x for which the following are not defined. ...

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  11. Find the value/values of x for which the following are not defined. ...

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  12. Let f(x) = sqrt(1+x) , g(x) = sqrt(1-x) Find f + g also find the domai...

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  13. Let f(x) = sqrt(1+x) , g(x) = sqrt(1-x) Find f - g also find the domai...

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  14. Let f(x) = sqrt(1+x) , g(x) = sqrt(1-x) Find fg also find the domain o...

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  15. Let f(x) = sqrt(1+x) , g(x) = sqrt(1-x) Find f^'/g also find the domai...

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  16. If f(x) = loge ((1-x)/(1+x)) , then prove that f(x) + f(y) = f((x + y)...

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  17. Let f = {(-1,4),(2,7) , (-2,11)} , (0,1), (1,2) be a quadratic polynom...

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  18. Sketch the graphs of the following functions. f(x) = x^3

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  19. Sketch the graphs of the following functions. f(x) = 1 + 1/x^2

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  20. Sketch the graphs of the following functions. f(x) = (x-1)^2

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