SOLUTION: I am having trouble with this problem. Can someone please show me the exact steps, because the steps shown in my math book are extremely confusing. Thank you. Given f(x)=2x^2-3x

Question 751302: I am having trouble with this problem. Can someone please show me the exact steps, because the steps shown in my math book are extremely confusing. Thank you.
Given f(x)=2x^2-3x+5
and g(x)=3x-2, find the composite function (f o g)(x)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given f(x)=2x^2-3x+5
and g(x)=3x-2, find the composite function
(f o g)(x)
= f[g(x)]
= f[3x-2]
= 2(3x-2)^2 - 3(3x-2) + 5
------
= 2(9x^2-12x+4) -9x+6 + 5
------
= 18x^2 - 33x + 13
=========================
Cheers,
Stan H.

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