Whakaoti i te f^-1(x)=x*20/3

$$f ^ { - 1 } ( x ) = x \times \frac { 20 } { 3 }$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=0\text{, }&f\neq 0\\x\in \mathrm{C}\text{, }&f=\frac{3}{20}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te x\times \frac{20}{3} mai i ngā taha e rua.

$$f^{-1}x-x\times \frac{20}{3}=0$$

Whakaraupapatia anō ngā kīanga tau.

$$\frac{1}{f}x-\frac{20}{3}x=0$$

Me whakarea ngā taha e rua o te whārite ki te 3f, arā, te tauraro pātahi he tino iti rawa te kitea o f,3.

$$3\times 1x-\frac{20}{3}x\times 3f=0$$

Whakareatia te 3 ki te 1, ka 3.

$$3x-\frac{20}{3}x\times 3f=0$$

Whakareatia te -\frac{20}{3} ki te 3, ka -20.

$$3x-20xf=0$$

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

$$\left(3-20f\right)x=0$$

Whakawehe 0 ki te 3-20f.

$$x=0$$

Whakaoti mō f

$$\left\{\begin{matrix}\\f=\frac{3}{20}=0.15\text{, }&\text{unconditionally}\\f\neq 0\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakaraupapatia anō ngā kīanga tau.

$$\frac{1}{f}x=\frac{20}{3}x$$

Tē taea kia ōrite te tāupe f ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 3f, arā, te tauraro pātahi he tino iti rawa te kitea o f,3.

$$3\times 1x=\frac{20}{3}x\times 3f$$

Whakareatia te 3 ki te 1, ka 3.

$$3x=\frac{20}{3}x\times 3f$$

Whakareatia te \frac{20}{3} ki te 3, ka 20.

$$3x=20xf$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$20xf=3x$$

Whakawehea ngā taha e rua ki te 20x.

$$\frac{20xf}{20x}=\frac{3x}{20x}$$

Mā te whakawehe ki te 20x ka wetekia te whakareanga ki te 20x.

$$f=\frac{3x}{20x}$$

Whakawehe 3x ki te 20x.

$$f=\frac{3}{20}$$

Whakaoti mō x

$$\left\{\begin{matrix}x=0\text{, }&f\neq 0\\x\in \mathrm{R}\text{, }&f=\frac{3}{20}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te x\times \frac{20}{3} mai i ngā taha e rua.

$$f^{-1}x-x\times \frac{20}{3}=0$$

Whakaraupapatia anō ngā kīanga tau.

$$\frac{1}{f}x-\frac{20}{3}x=0$$

Me whakarea ngā taha e rua o te whārite ki te 3f, arā, te tauraro pātahi he tino iti rawa te kitea o f,3.

$$3\times 1x-\frac{20}{3}x\times 3f=0$$

Whakareatia te 3 ki te 1, ka 3.

$$3x-\frac{20}{3}x\times 3f=0$$

Whakareatia te -\frac{20}{3} ki te 3, ka -20.

$$3x-20xf=0$$

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

$$\left(3-20f\right)x=0$$

Whakawehe 0 ki te 3-20f.

$$x=0$$