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1.2.22 Inverse and composite functions (A-level only)

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Question 48

A drone's altitude hhh in metres is related to the time ttt in seconds after it passes a reference point by the function

h(t)=7t−363,t≥6 h(t) = \frac{7t - 36}{3}, \quad t \ge 6 h(t)=37t−36​,t≥6

Solve the equation

h(t)=h−1(t) h(t) = h^{-1}(t) h(t)=h−1(t)

Select your answer from the options below:

t=5.1t = 5.1t=5.1

t=6t = 6t=6

t=9t = 9t=9

t=12t = 12t=12

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1.2.22 Inverse and composite functions (A-level only) Questions

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