You can put this solution on YOUR website! You wrote that you were given -1/x-8 which, according to the rules of algebra means that
you do the divisions and multiplications first and the additions and subtractions next and
therefore you get:
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but I suspect that you meant to write -1/(x-8) which means that you divide -1 by the quantity
x - 8 to get the fraction:
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In algebra, division by zero is not allowed. Therefore, the denominator x - 8 is not allowed
to equal zero. We can find the value of x that will make the denominator equal zero by
writing the equation:
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Solve this equation by adding 8 to both sides to get:
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When x equals 8 the denominator will be zero and we will have a division by zero. Therefore,
we cannot allow the value of x to be +8. Other than that, any other real value of x will be
OK ... anywhere from minus infinity to positive infinity ... except for +8.
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Hope this helps you to understand the problem.
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