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反函数

说一个给定函数有反函数,是什么意思?

1. Introduction

Introduction

2. When a function has an inverse function

When a function has an inverse function

3. Determining whether a function has an inverse function

Determining whether a function has an inverse function

4. Solving for the inverse of a linear function

Solving F = (9/5)C + 32 for C gives which expression, and what does it represent?

5. Inverting Dolbear's equation

Solving F = 40 + (1/4)N for N gives N = 4(F - 40). What is the chirp rate when F = 60?

6. Composing a function with its inverse

With D(N) = 40 + N/4 and E(F) = 4(F - 40), what are j(N) = E(D(N)) and k(F) = D(E(F))?

7. When tables have inverses

Which table defines a function with an inverse function?

8. Inverses of power and radical-type functions

Which function has an inverse on its stated domain?

9. An inverse exists whenever the function is a function

Every function that passes the vertical line test also has an inverse function.

10. A linear function with nonzero slope has an inverse

The linear function p(t) = 7 - (3/5)t, with domain and codomain all real numbers, has an inverse function.

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