Question 995666
g(x) = x - 2
f(x) = 3x - 2


g(g(x)) = (x - 2) - 2   {substituted (x - 2), in for x, into x - 2}
= x - 4  {combined like terms}


f(f(x)) = 3(3x - 2) - 2  {substituted (3x - 2), in for x, into 3x - 2}
= 9x - 6 - 2 {used distributive property}
= 9x - 8  {combined like terms}


If g(g(x)) = f((f(x)), then
x - 4 = 9x - 8   {set g(g(x)) equal to f(f(x))}
8x = 4 {subtracted x and added 8 to each side}
x = 1/2   {divided each side by 8}
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