Let f(x) = 3x2 + x − 3 and g(x) = x2 − 5x + 1. Find f(x) − g(x).

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19-01-2016
Mathematics

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Let f(x) = 3x2 + x − 3 and g(x) = x2 − 5x + 1. Find f(x) − g(x).

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TSO TSO · Answer 1 · 2016-01-19T18:07:39+01:00

TSO TSO

19-01-2016

f(x) - g(x) = 3x² + x - 3 - (x² - 5x + 1)
f(x) - g(x) = 3x² + x - 3 - x² + 5x - 1
f(x) - g(x) = 3x² - x² + x + 5x - 3 - 1
f(x) - g(x) = 2x² + 6x - 4

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pingwin09 pingwin09 · Answer 2 · 2016-01-19T18:08:20+01:00

pingwin09 pingwin09

19-01-2016

Substitute the two functions according to a given condition of function:
f(x) - g(x) = 3x² + x - 3 - (x² - 5x + 1)
= 3x² + x - 3 - x² + 5x - 1
= 2x² + 6x - 4 or 2(x² + 3x - 2)

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