The value of h(t) is h(t) = 2t^2 – 11t – 10.
To add or subtract functions, just add or subtract the values at each point where it makes sense.
How to find h(t) = f(t) – g(t)?
Two dams, when opened, release water at different rates. The following functions represent the amounts of water the dams release over t minutes:
Given : Dam A f(t) = 5t^2 – 7t – 1
Dam B : g(t) = 3t ^2 + 4t + 9.
Then f(t) – g(t) = (5t^2-7t-1) -(3t^2+4t+9)
=> 2t^2 – 11t – 10.
Thus, h(t) = 2t^2 – 11t – 10.
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