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Just sub in g(x) into f(x), simplify, then evaluate at x = 5
f (5-1/4) = 5-1/4^2 - 3 * 5 - 1/4 + 3
Right, what do you get?
umm f = -117/76
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?
No. okay, so what I think you are doing wrong is you are trying to do it all in one step. Let's do it step by step. F(g(x)) = ((x-1)/4)^2 - 3* ((x-1)/4) + 3
Simplify. We get ((x-1)^2)/16 - (3(x-1))/4 + 3
Now sub in 5, this is as simple as it's going to get. Let me know the result you get.
(5 - 1) ^ 2) / 16 - (3(5 - 1)) / 4 + 3 ??
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Yes, so we get: 16/16 which is 1 MINUS 3(4)/(4) well the 4's cancel, so we are left with 3 PLUS 3 So we get: 1 - 3 + 3 Which is simply 1.
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