Question

Anthony is calculating how high a ball is thrown. He has determined the function h(t) = -16t² + 20t + 4 to

represent the height of the ball in feet over t seconds. He wants his final answer to be in inches. He knows that the
function N(f) = 12f will convert f feet into inches. Compose the functions so that he has one equation to determine
the number of inches high the ball will be over t seconds.

Answer 1

N(t) = -192t² +240t +48

Explanation:

The composition of functions will be created by using the height function as the argument of the units conversion function.

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N(f) = N(h(t)) = 12(-16t² +20t +4) . . . replace f with h(t)

N(t) = -192t² +240t +48 . . . . . simplify