thus f[ g(x) ] = x indeed, or g[ f(x) ] =x, thus they're indeed inverse of each other
A toy rocket is launched from a platform 42 feet above the ground at a speed of 91 feet per second. The height of the rocket in
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thus f[ g(x) ] = x indeed, or g[ f(x) ] =x, thus they're indeed inverse of each other
Answer:
9 represents the initial height from which the ball was dropped
Step-by-step explanation:
Bouncing of a ball can be expressed by a Geometric Progression. The function for the given scenario is:
The general formula for the geometric progression modelling this scenario is:
Here,
represents the initial height i.e. the height from which the object was dropped.
r represents the percentage the object covers with respect to the previous bounce.
Comparing the given scenario with general equation, we can write:
= 9
r = 0.7 = 70%
i.e. the ball was dropped from the height of 9 feet initially and it bounces back to 70% of its previous height every time.