InterviewSolution
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InterviewSolution
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A function f is defined by `f(x)=x+(1)/(x)`. Consider the following. `(1) (f(x))^(2)=f(x^(2))+2` `(2)(f(x))^(3)=f(x^(3))+3f(x)` Which of the above is/are correct?A. 1 onlyB. 2 onlyC. Both 1 and 2D. Neither 1 nor 2 |
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Answer» Correct Answer - C `f(x^(2))+2=x^(2)+(1)/(x^(2))+2` `=(x+(1)/(x))^(2)={f(x)}^(2)` and `f(x^(3))+3f(x)` `=x^(3)+(1)/(x^(3))+3(x+(1)/(x))=(x+(1)/(x))^(3)={f(x)}^(3)` Thus, both 1 and 2 are correct. |
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