Answer to Question 10

a(x) = | x + 2 | for x > -2

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After reflecting over the line y = x, the inverse is a "ray" starting at point (0,-2) and going through (2,0).

Equation:
Slope = 1.
y - 0 = 1(x - 2)
y = x - 2

a-1(x) = x - 2 on the domain [0, ∞)

 

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