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Answer :
Final answer:
To find the inverse of the function, substitute 8 for f(t) and solve for t. The value of t when f(t) = 8 is 0.571.
Explanation:
To find the inverse of a function, we need to solve for the input variable. In this case, we want to find f-1(8). That means we are looking for the value of t when f(t) = 8.
Given f(t) = 4 + 7t, we substitute 8 for f(t) and solve for t:
8 = 4 + 7t
Subtract 4 from both sides:
4 = 7t
Divide both sides by 7:
t = 4/7 = 0.571
Therefore, f-1(8) = 0.571.
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