The shortest distance between the curves \( \mathrm{P}^{\infty} \) ...

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The shortest distance between the curves
\( \mathrm{P}^{\infty} \) \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) and \( 4 x^{2}+4 y^{2}=a^{2}(ba) \) is \( f(a, b) \),

W then the value of \( f(4,6)+f(2,3) \) is
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