Given \(f(x) = 3x - 5,\) for what value of \(x\) does \(2\cdot f(x) - 1 = f(3x - 6).\)
A. 0
B. 4
C. 6
D. 7
E. 13
Answer: B
Source: Magoosh
Given \(f(x) = 3x - 5,\) for what value of \(x\) does \(2\cdot f(x) - 1 = f(3x - 6).\)
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Solution:
Since f(x) = 3x - 5, then f(3x - 6) = 3(3x - 6) - 5 = 9x - 18 - 5 = 9x - 23, and we have:
2(3x - 5) - 1 = 9x - 23
6x - 10 - 1 = 9x - 23
12 = 3x
4 = x
Answer: B
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