Whakaoti i te fy=f(x+3)-5?

$$f y = f ( x + 3 ) - 5 ?$$

Whakaoti mō f

$$f=-\frac{5}{-x+y-3}$$

$$y\neq x+3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te f ki te x+3.

$$fy=fx+3f-5$$

Tangohia te fx mai i ngā taha e rua.

$$fy-fx=3f-5$$

Tangohia te 3f mai i ngā taha e rua.

$$fy-fx-3f=-5$$

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

$$\left(y-x-3\right)f=-5$$

He hanga arowhānui tō te whārite.

$$\left(-x+y-3\right)f=-5$$

Whakawehea ngā taha e rua ki te y-x-3.

$$\frac{\left(-x+y-3\right)f}{-x+y-3}=-\frac{5}{-x+y-3}$$

Mā te whakawehe ki te y-x-3 ka wetekia te whakareanga ki te y-x-3.

$$f=-\frac{5}{-x+y-3}$$

Whakaoti mō x

$$x=y-3+\frac{5}{f}$$

$$f\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te f ki te x+3.

$$fy=fx+3f-5$$

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

$$fx+3f-5=fy$$

Tangohia te 3f mai i ngā taha e rua.

$$fx-5=fy-3f$$

Me tāpiri te 5 ki ngā taha e rua.

$$fx=fy-3f+5$$

Whakawehea ngā taha e rua ki te f.

$$\frac{fx}{f}=\frac{fy-3f+5}{f}$$

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

$$x=\frac{fy-3f+5}{f}$$

Whakawehe fy-3f+5 ki te f.

$$x=y-3+\frac{5}{f}$$