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timofeeve [1]
2 years ago
7

The function g is defined by:

Mathematics
1 answer:
Alisiya [41]2 years ago
6 0

<em>g(x)</em> = <em>x</em>² - <em>x</em> - 6

so

<em>g</em> (-4) = (-4)² - (-4) - 6 = 16 + 4 - 6 = 14

When <em>g(x)</em> = 6, we have

6 = <em>x</em>² - <em>x</em> - 6

<em>x</em>² - <em>x</em> - 12 = 0

Solve for <em>x</em>. We factorize this easily as

(<em>x</em> - 4) (<em>x</em> + 3) = 0

which gives

<em>x</em> - 4 = 0   <u>or</u>   <em>x</em> + 3 = 0

<em>x</em> = 4   <u>or</u>   <em>x</em> = -3

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