5) f²(x) =f(x)*f(x)
adica f²(x)=[tex] \frac{9*(x+1)}{x+3} [/tex] =[tex] \frac{9x+9}{x+3} [/tex]
f²(x) -9 =[tex] \frac{9x+9}{x+3} [/tex] -9 =[tex] \frac{9x+9}{x+3} [/tex]-[tex] \frac{9x+27}{x+3} [/tex] =[tex] \frac{-18}{x+3} [/tex]
-------
6)f(1/2)=√[tex] \frac{45}{4} [/tex] [tex] \frac{3}{2} [/tex] *√5
f(-1/2)=√[tex] \frac{13}{4} [/tex] =[tex] \frac{ \sqrt{13} }{2} [/tex]
=> f(1/2) > f(-1/2)