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
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