Question: Let y = (x) = mx + b, m 0. (a) Give a convincing argument that is a one-to-one function. (b) Find a

Let y = ∫(x) = mx + b, m ≠ 0.
(a) Give a convincing argument that ∫ is a one-to-one function.
(b) Find a formula for the inverse of ∫. How are the slopes of ∫ and ∫^-1 related?
(c) If the graphs of two functions are parallel lines with a nonzero slope, what can you say about the graphs of the inverses of the functions?
(d) If the graphs of two functions are perpendicular lines with a nonzero slope, what can you say about the graphs of the inverses of the functions?

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a Given that is a onetoone function then the following is easily proved Let y x b where x and b are real numbers Then y 0 so we can divide both sides ... View full answer

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