Whakaoti i te f(x)=alpha/x

$$f ( x ) = \frac { \alpha } { x }$$

Whakaoti mō f

$$f=\frac{\alpha }{x^{2}}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te x.

$$fxx=\alpha$$

Whakareatia te x ki te x, ka x^{2}.

$$fx^{2}=\alpha$$

He hanga arowhānui tō te whārite.

$$x^{2}f=\alpha$$

Whakawehea ngā taha e rua ki te x^{2}.

$$\frac{x^{2}f}{x^{2}}=\frac{\alpha }{x^{2}}$$

Mā te whakawehe ki te x^{2} ka wetekia te whakareanga ki te x^{2}.

$$f=\frac{\alpha }{x^{2}}$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=-f^{-\frac{1}{2}}\sqrt{\alpha }\text{; }x=f^{-\frac{1}{2}}\sqrt{\alpha }\text{, }&\alpha \neq 0\text{ and }f\neq 0\\x\neq 0\text{, }&\alpha =0\text{ and }f=0\end{matrix}\right.$$

Whakaoti mō x

$$\left\{\begin{matrix}x=\sqrt{\frac{\alpha }{f}}\text{; }x=-\sqrt{\frac{\alpha }{f}}\text{, }&\left(f<0\text{ and }\alpha <0\right)\text{ or }\left(f>0\text{ and }\alpha >0\right)\\x\neq 0\text{, }&\alpha =0\text{ and }f=0\end{matrix}\right.$$