SOLUTION: If f(x)= 3x-2 and g(x)= -2x+1, then what is f(g(f(x)))

SOLUTION: If f(x)= 3x-2 and g(x)= -2x+1, then what is f(g(f(x)))

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Question 169243: If f(x)= 3x-2 and g(x)= -2x+1, then what is f(g(f(x)))
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
f(x) = 3x-2 and g(x) = -2x+1, find f(g(f(x)))
f(g(f(x))) = f(g(3x-2)) = f(-2(3x-2)+1) Simplify this to:
f(-6x+4+1) = f(-6x+5) = 3(-6x+5)-2 = -18x+15-2 = -18x+13
f(g(f(x))) = -18x+13
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