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反函数(续)

说一个给定函数有反函数,是什么意思?

1. Properties of an inverse function

Properties of an inverse function

2. Summary

Summary

3. Rainfall rate three hours in

A storm's rainfall rate is g(t) = 4/(t+2) + 1 cm/hr. What is the rate at t = 3 hours? Give the decimal.

4. Rainfall rate's average change

For g(t) = 4/(t+2) + 1, the average rate on [3,5] is -4/35 cm/hr^2. What does the sign and units say?

5. Inverse rainfall function value

For g(t) = 4/(t+2) + 1, solve g(t) = 9/5 for t. Give the exact integer.

6. A rate the model never reaches

Can g(t) = 4/(t+2) + 1 ever equal 1 centimeter per hour during the storm?

7. Reflecting to read an inverse

If the point (2.5, -3.5) lies on the inverse function's graph, which point lies on the original function?

8. Rising level and invertible volume

A conical tank fills so the water height is h = 0.25t. Why does the volume model have an inverse?

9. Inverse of the chirp-to-Celsius function

With C = 40/9 + (5/36)N, solving for N gives N = (36/5)C - 32. What is N when C = 18?

10. A quantity that rises strictly is invertible in time

If a quantity rises strictly as time passes during a process, the quantity can be used to recover the elapsed time uniquely.

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