Which of the following is the reciprocal of x2-2x-8
Mathematics · High School · Mon Jan 18 2021
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Given the equation:
x^2 - 2x - 8
Determine the reciprocal.
Solution:
In order to determine the reciprocal of the function, we simply needed determine first the value of x. To do so we must think of a number, that when multiplied that value is -8 and when added the value is -2. In our case we'll have the factors,
( x + 2 ) ( x - 4 )
x = -2
x = 4
Now to determine the reciprocal of the given, we simply needed to put the given values in the denominator, or we somewhat inverse it.
x = -½
x = ¼
Final answer:
x = -½
x = ¼