Докажите что функция нечетная:
[tex]f(x)= \frac{9x-10}{5x+2}- \frac{9x+10}{5x-2} [/tex]
[tex]f(x)= \frac{9x-10}{5x+2}- \frac{9x+10}{5x-2} [/tex]
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F(x)=(9x-10)/(5x+2)-(9x+10)/(5x-2)f(-x)=(-9x-10)/(-5x+2)-(-9x+10)/(-5x-2)=[-(9x+10)/-(5x-2)]-[-(9x-10)/-(5x+2)]=
=(9x+10)/(5x-2)-(9x-10)/(5x+2)=-[(-(9x+10)/(5x-2)+(9x-10)/(5x+2)]
f(x)=-f(-x)
функция нечетная