Jika f(x)= x/x-1 dan g(x)=√1+x^2 serta h(x)=2x+5. Tentukan f○g○h(2) dan g○h○f(3)

[tex]f(x)= \frac{x}{x - 1} \\ g(x)= \sqrt{1+x^2} \\ h(x)=2x+5 \\ \\ (fogoh)(2) = f(g(2 \times 2 + 5) \\ =f(g(9)) \\ = f( \sqrt{(1 + {9}^{2}) } ) \\ = f( \sqrt{82} ) \\ = \frac{ \sqrt{82} }{ \sqrt{82} - 1} \\ \\ (gohof)(3) = g(h(f(3))) \\ = g(h( \frac{3 }{3 - 1} )) \\ = g(h( \frac{3}{2} )) \\ = g(2( \frac{3}{2} ) + 5) \\ = g(8) \\ = \sqrt{1 + {8}^{2} } \\ = \sqrt{65} [/tex]