IF f(x)= X*X-2X-11, AND g(x)=3X-2, FIND THE RULE WHICH REPRESENTS THE EXPRESSION (f~g)(x)....
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2006-12-29 04:04:54 · 5 answers · asked by 可斯 1 in Science & Mathematics ➔ Mathematics
(fog)(x)=f[g(x)]
=f[ 3x-2]
=(3x-2)^2-2(3x-2)-11
=9x^2+4-12x-6x+4-11
=9x^2-18x-3
2006-12-29 04:18:30 · answer #1 · answered by iyiogrenci 6 · 0⤊ 1⤋
Solve according to order of operations:
(x^2 - 2x - 11) - (3x - 2)
x^2 - 2x - 11 - 3x + 2
x^2 - 5x - 9
2006-12-29 05:50:36 · answer #2 · answered by ♪♥Annie♥♪ 6 · 0⤊ 0⤋
f[g(x)] = (3x-2)^2 - 2(3x-2) - 11
The rule requires that you substitute g(x) for x in f(x) expression.
2006-12-29 04:13:26 · answer #3 · answered by sahsjing 7 · 1⤊ 0⤋
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2016-10-19 03:34:12 · answer #4 · answered by mcfee 4 · 0⤊ 0⤋
(X*X-2X-11)-(3X-2)=X*X-5x-9
2006-12-29 04:10:13 · answer #5 · answered by Anonymous · 1⤊ 1⤋