Let f(x) mx b. a. Does f(x) always have an inverse?

Chapter 9, Problem 9.5.34

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Let f(x) mx b. a. Does f(x) always have an inverse? Explain. b. If f(x) has an inverse, find f 1 (x). c. Using the formula for f 1 (x), explain in words how, given any linear equation (under certain constraints), you can find the inverse function knowing the slope m and y-intercept b.

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