Questions and Answers #1 Inverse Functions | Stanford University - Edubirdie

University:
Stanford University
Course:
MATH 115 | Functions of a Real Variable
Academic year:

2023
Views:

26

Pages:

1
Author:

MathPaladin

Questions and Answers Sheet 1 Inverse Functions Question #1 What is the inverse function of 𝑓(𝑥) = 𝑏 𝑥 ? Answer: The logarithm, which holds true for any base, is the inverse of the exponential. So, the inverse function of 𝑒 𝑥 is ln(x), which is logarithm with base e; the inverse function of 10𝑥 is log10 (𝑥) , and so on. Question #2 For the inverse variation equation 𝑝 = 8/𝑉 , what is the value of V when p=4? Answer: So: "We can change the equation's order." 𝑝/1 = 8/𝑉 ← cross-multiplying gives" 𝑝𝑉 = 8 ← divide both sides by p" ⇒= 8/𝑝 = 8/4 = 2

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