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Functions, Inverses and their Graphs

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(6) Find the invesres of the following:
(a) f(x) = 2(x - 4)^2 + 5 (b) f(x) = [1/(x - 2)] + 3

(7) Graph the functions and their inverses in (6) above. Also indicate which relations are functions and which are not.

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Solution Summary

Inverses have been found for the given functions. Both functions and their inverses have been graphed on the same set of coordinate axes.

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(6) (a) Replace f(x) with x, x with y and solve for y
x = 2(y - 4)^2 + 5
x - 5 = 2(y - 4)^2
(y ...

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