Chapter 6 Rational Exponents and Radical Functions - 6.3 Perform Function Operations and Composition - 6.3 Exercises - Problem Solving - Page 434: 47a

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Given: $n=2\\x=1$ $f(x)=\frac{x+\frac{n}{x}}{2}$ $f(1)=\frac{1+\frac{2}{1}}{2}=\frac{3}{2}$ $f(\frac{3}{2})=\frac{\frac{3}{2}+\frac{3}{\frac{3}{2}}}{2}\approx1.4167$ $f(1.4167)=\frac{1.467+\frac{2}{1.467}}{2}\approx1.415$ $f(1.415)=\frac{1.415+\frac{2}{1.415}}{2}\approx1.414$