For each pair of functions:

i Sketch the graphs of y = f(x) and y = g(x) on the same axes.

ii Find the coordinates of any points of intersection.

iii Write down the solutions to the inequality f(x) ≤ g(x).

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a f(x) = 3x - 7 g(x) = 13 - 2x d f(x)=3-x² g(x) = 2x - 12 b f(x)=8-5x g(x) = 14 - 3x e f(x)=x²-5 g(x) = 7x + 13 c f(x) = x² + 5 g(x) = 5-2x f f(x) = 7-x² g(x)=2x-8