Two functions f and g are defined by f:x→3x+2 and g:x→x^2-2.Obtain expressions for fg and gf.Find the value(s) of x for which

f=g?

fg=gf?

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1. f(g) = 3g+2 = 3(x^2-2)+2 = 3x^2-4
g(f) = f^2-2 = (3x+2)^2-2 = 9x^2+12x+2

f=g when 3x+2=x^2-2, or 4 or -1
fg=gf when 3x^2-4 = 9x^2+12x-2, or -1±√(2/3)

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posted by Steve

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