If f(x)=x+2 and g(x)=3x−2, find the product of f⁻¹(x) and g⁻¹(x).

Uwanja wa ndege wa Julius International uko $7^\circ S, 45^\circ E$.
Senegal iko $9^\circ N, 45^\circ E$.
Kwa kuwa latitudo moja ni Kusini na nyingine ni Kaskazini, tofauti ya jumla ya latitudo ni jumla ya thamani zao kamili.

$$\text{Tofauti ya latitudo} = 7^\circ + 9^\circ = 16^\circ$$

Swali linasema tutumie $\frac{2\pi R}{360^\circ} = 112$. Hii inamaanisha kuwa umbali kwa $1^\circ$ ya latitudo kando ya meridiani ni 112 km.

$$\text{Umbali kwa kila digrii} = 112 \text{ km/digrii}$$

$$\text{Jumla ya umbali} = \text{Tofauti ya latitudo} \times \text{Umbali kwa kila digrii}$$ $$\text{Jumla ya umbali} = 16^\circ \times 112 \text{ km/digrii}$$ $$\text{Jumla ya umbali} = 1792 \text{ km}$$

Ndege inasafiri kwa kasi ya $500 \text{ km/h}$.

$$\text{Muda} = \frac{\text{Umbali}}{\text{Kasi}}$$ $$\text{Muda} = \frac{1792 \text{ km}}{500 \text{ km/h}}$$ $$\text{Muda} = 3.584 \text{ masaa}$$

$$3.584 \text{ masaa} = 3 \text{ masaa} + (0.584 \times 60) \text{ dakika}$$ $$0.584 \times 60 \approx 35 \text{ dakika}$$

Hivyo, muda uliotumika ni takriban masaa 3 na dakika 35.

Ndege iliondoka saa 8:00 asubuhi.

$$\text{Muda wa kuwasili} = \text{Muda wa kuondoka} + \text{Muda wa kusafiri}$$ $$\text{Muda wa kuwasili} = 8:00 \text{ asubuhi} + 3 \text{ masaa na } 35 \text{ dakika}$$ $$\text{Muda wa kuwasili} = 11:35 \text{ asubuhi}$$

Ndege itawasili Senegal saa $\boxed{11:35 \text{ asubuhi}}$.