Whakaoti i te y=f(-x-5)-4

$$y = f ( - x - 5 ) - 4$$

Whakaoti mō f (complex solution)

$$\left\{\begin{matrix}f=-\frac{y+4}{x+5}\text{, }&x\neq -5\\f\in \mathrm{C}\text{, }&y=-4\text{ and }x=-5\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te f ki te -x-5.

$$y=f\left(-x\right)-5f-4$$

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

$$f\left(-x\right)-5f-4=y$$

Me tāpiri te 4 ki ngā taha e rua.

$$f\left(-x\right)-5f=y+4$$

Whakaraupapatia anō ngā kīanga tau.

$$-fx-5f=y+4$$

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

$$\left(-x-5\right)f=y+4$$

Whakawehea ngā taha e rua ki te -x-5.

$$\frac{\left(-x-5\right)f}{-x-5}=\frac{y+4}{-x-5}$$

Mā te whakawehe ki te -x-5 ka wetekia te whakareanga ki te -x-5.

$$f=\frac{y+4}{-x-5}$$

Whakawehe y+4 ki te -x-5.

$$f=-\frac{y+4}{x+5}$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=-\frac{y+5f+4}{f}\text{, }&f\neq 0\\x\in \mathrm{C}\text{, }&y=-4\text{ and }f=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te f ki te -x-5.

$$y=f\left(-x\right)-5f-4$$

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

$$f\left(-x\right)-5f-4=y$$

Me tāpiri te 5f ki ngā taha e rua.

$$f\left(-x\right)-4=y+5f$$

Me tāpiri te 4 ki ngā taha e rua.

$$f\left(-x\right)=y+5f+4$$

Whakaraupapatia anō ngā kīanga tau.

$$-fx=y+5f+4$$

He hanga arowhānui tō te whārite.

$$\left(-f\right)x=y+5f+4$$

Whakawehea ngā taha e rua ki te -f.

$$\frac{\left(-f\right)x}{-f}=\frac{y+5f+4}{-f}$$

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

$$x=\frac{y+5f+4}{-f}$$

Whakawehe y+4+5f ki te -f.

$$x=-\frac{y+5f+4}{f}$$

Whakaoti mō f

$$\left\{\begin{matrix}f=-\frac{y+4}{x+5}\text{, }&x\neq -5\\f\in \mathrm{R}\text{, }&y=-4\text{ and }x=-5\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te f ki te -x-5.

$$y=f\left(-x\right)-5f-4$$

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

$$f\left(-x\right)-5f-4=y$$

Me tāpiri te 4 ki ngā taha e rua.

$$f\left(-x\right)-5f=y+4$$

Whakaraupapatia anō ngā kīanga tau.

$$-fx-5f=y+4$$

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

$$\left(-x-5\right)f=y+4$$

Whakawehea ngā taha e rua ki te -x-5.

$$\frac{\left(-x-5\right)f}{-x-5}=\frac{y+4}{-x-5}$$

Mā te whakawehe ki te -x-5 ka wetekia te whakareanga ki te -x-5.

$$f=\frac{y+4}{-x-5}$$

Whakawehe y+4 ki te -x-5.

$$f=-\frac{y+4}{x+5}$$

Whakaoti mō x

$$\left\{\begin{matrix}x=-\frac{y+5f+4}{f}\text{, }&f\neq 0\\x\in \mathrm{R}\text{, }&y=-4\text{ and }f=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te f ki te -x-5.

$$y=f\left(-x\right)-5f-4$$

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

$$f\left(-x\right)-5f-4=y$$

Me tāpiri te 5f ki ngā taha e rua.

$$f\left(-x\right)-4=y+5f$$

Me tāpiri te 4 ki ngā taha e rua.

$$f\left(-x\right)=y+5f+4$$

Whakaraupapatia anō ngā kīanga tau.

$$-fx=y+5f+4$$

He hanga arowhānui tō te whārite.

$$\left(-f\right)x=y+5f+4$$

Whakawehea ngā taha e rua ki te -f.

$$\frac{\left(-f\right)x}{-f}=\frac{y+5f+4}{-f}$$

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

$$x=\frac{y+5f+4}{-f}$$

Whakawehe y+4+5f ki te -f.

$$x=-\frac{y+5f+4}{f}$$