Asosiy tarkibga o'tish

1.1-bo'lim : Ko'rib chiqish: Funktsiyalar

23. \(\displaystyle f\left( w \right) = \frac{{{w^3} - 3w + 1}}{{12w - 7}}\) domenini toping.

Yechim

Bunday holda, biz nolga bo'linishdan qochishimiz kerak, shuning uchun biz maxraj nolga teng ekanligini aniqlashimiz kerak. Buning uchun biz hal qilamiz,

\[12w - 7 = 0\hspace{0.25in}\hspace{0.25in} \Rightarrow \hspace{0.25in}\hspace{0.25in}w = \frac{7}{{12}}\]

Biz \(w\) ning boshqa barcha qiymatlarini hech qanday muammosiz funktsiyaga ulashimiz mumkin va shuning uchun domen,

\[{\mbox{Domain : All real numbers except }}w = \frac{7}{{12}}\]