Whakaoti i te y=1/x+1

$$y= \frac{ 1 }{ x } +1$$

Whakaoti mō x

$$x=-\frac{1}{1-y}$$

$$y\neq 1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x.

$$yx=1+x$$

Tangohia te x mai i ngā taha e rua.

$$yx-x=1$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(y-1\right)x=1$$

Whakawehea ngā taha e rua ki te y-1.

$$\frac{\left(y-1\right)x}{y-1}=\frac{1}{y-1}$$

Mā te whakawehe ki te y-1 ka wetekia te whakareanga ki te y-1.

$$x=\frac{1}{y-1}$$

Tē taea kia ōrite te tāupe x ki 0.

$$x=\frac{1}{y-1}\text{, }x\neq 0$$

Whakaoti mō y

$$y=1+\frac{1}{x}$$

$$x\neq 0$$