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Shkiper50 [21]
4 years ago
8

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

Mathematics
2 answers:
Lubov Fominskaja [6]4 years ago
8 0
       f(x)  -  g(x)
=>  (3x²  +  x  - 3)  -  (x² - 5x + 1)
=>  3x² + x - 3 - x² + 5x - 1
=>  3x² - x² + x + 5x - 3 - 1
=>  2x² + 6x - 4
SVEN [57.7K]4 years ago
7 0
Easy peasy, since equals, just sub

f(x)-g(x)
(3x^2+x-3)-(x^2-5x+1)
distribute invisible -1
3x^2+x-3-x^2+5x-1
rearange terms or group like terms
3x^2-x^2+x+5x-3-1
add like terms
2x^2+6x-4


f(x)-g(x)=2x^2+6x-4
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\sf {a}^{2}  =  {13}^{2}  -  {5}^{2}

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Base²= Hypotenuse² - Perpendicular ²

\\  \\

\hookrightarrow\sf {a}^{2}  =  {13}^{2}  -  {5}^{2}

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\hookrightarrow\sf {a}^{2}  =169 - 25

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\hookrightarrow\sf {a}^{2}  =144

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\hookrightarrow\sf {a} = \sqrt{144}

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\hookrightarrow\sf {a} = 12

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