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If the graph of the function `f(x)=(a^x-1)/(x^n(a^x+1))`is symmetrical about the `y-a xi s ,t h e nn`equals2 (b)`2/3`(c) `1/4`(d) `1/3`A. 2B. `(2)/(3)`C. `(4)/(3)`D. `-(1)/(3)` |
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Answer» Correct Answer - D `f(x)=(a^(x)-1)/(x^(n)(a^(x)+1))` `f(x)` is symmetrical about y-axis. Thus, `f(x)=f(-x)` `or (a^(x)-1)/(x^(n)(a^(x)+1))=(a^(-x)-1)/((-x)^(n)(a^(-x)+1))` `or (a^(x)-1)/(x^(n)(a^(x)+1))=(1-a^(x))/((-x)^(n)(1+a^(x)))` `or x^(n)= -(-x)^(n)` Hence, the value of n which satisfies this relation is ` -(1)/(3)`. |
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