Leo is purchasing a bike that is on sale for 30% off. He knows the function that represents the sale price of his bike is c(p) = 0.7p, where p is the original price of the bike. He also knows he has to pay 12% sale's tax on the bike. The price of the bike with tax is f(c) = 1.12c, where c is the sale price of the bike.

Determine the function that can be used to calculate the final price of Leo's bike by solving for f[c(p)].

f[c(p)] = 1.82cp 

f[c(p)] = 1.82p 
f[c(p)] = 0.784cp
 
f[c(p)] = 0.784p