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Given f(x)=x^2+x^(-2)andg(x)=x^4+x^-4. I...

Given `f(x)=x^2+x^(-2)andg(x)=x^4+x^-4.` If a real number a is such that `a+a^-1=3,` find the numerical values of `f(a) and g(a)`.

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The correct Answer is:
`f(a)=7 andg(a)=47`.
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