Whakaoti i te y=f(x-56)+63

$$y = f ( x - 56 ) + 63$$

Whakaoti mō f (complex solution)

$$\left\{\begin{matrix}f=-\frac{63-y}{x-56}\text{, }&x\neq 56\\f\in \mathrm{C}\text{, }&y=63\text{ and }x=56\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te f ki te x-56.

$$y=fx-56f+63$$

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

$$fx-56f+63=y$$

Tangohia te 63 mai i ngā taha e rua.

$$fx-56f=y-63$$

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

$$\left(x-56\right)f=y-63$$

Whakawehea ngā taha e rua ki te x-56.

$$\frac{\left(x-56\right)f}{x-56}=\frac{y-63}{x-56}$$

Mā te whakawehe ki te x-56 ka wetekia te whakareanga ki te x-56.

$$f=\frac{y-63}{x-56}$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=\frac{y+56f-63}{f}\text{, }&f\neq 0\\x\in \mathrm{C}\text{, }&y=63\text{ and }f=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te f ki te x-56.

$$y=fx-56f+63$$

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

$$fx-56f+63=y$$

Me tāpiri te 56f ki ngā taha e rua.

$$fx+63=y+56f$$

Tangohia te 63 mai i ngā taha e rua.

$$fx=y+56f-63$$

Whakawehea ngā taha e rua ki te f.

$$\frac{fx}{f}=\frac{y+56f-63}{f}$$

Mā te whakawehe ki te f ka wetekia te whakareanga ki te f.

$$x=\frac{y+56f-63}{f}$$

Whakaoti mō f

$$\left\{\begin{matrix}f=-\frac{63-y}{x-56}\text{, }&x\neq 56\\f\in \mathrm{R}\text{, }&y=63\text{ and }x=56\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te f ki te x-56.

$$y=fx-56f+63$$

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

$$fx-56f+63=y$$

Tangohia te 63 mai i ngā taha e rua.

$$fx-56f=y-63$$

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

$$\left(x-56\right)f=y-63$$

Whakawehea ngā taha e rua ki te x-56.

$$\frac{\left(x-56\right)f}{x-56}=\frac{y-63}{x-56}$$

Mā te whakawehe ki te x-56 ka wetekia te whakareanga ki te x-56.

$$f=\frac{y-63}{x-56}$$

Whakaoti mō x

$$\left\{\begin{matrix}x=\frac{y+56f-63}{f}\text{, }&f\neq 0\\x\in \mathrm{R}\text{, }&y=63\text{ and }f=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te f ki te x-56.

$$y=fx-56f+63$$

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

$$fx-56f+63=y$$

Me tāpiri te 56f ki ngā taha e rua.

$$fx+63=y+56f$$

Tangohia te 63 mai i ngā taha e rua.

$$fx=y+56f-63$$

Whakawehea ngā taha e rua ki te f.

$$\frac{fx}{f}=\frac{y+56f-63}{f}$$

Mā te whakawehe ki te f ka wetekia te whakareanga ki te f.

$$x=\frac{y+56f-63}{f}$$