Question 158109
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:

FIND THE DOMAIN OF THE RATIONAL FUNCTION.

g(x) = (6x)/(x-1)(x+7)

The domain of a rational function is all the values of x EXCEPT the values that will produce a zero in the denominator.  You see, a denominatoir cannot have a zero because division by zero does not exist.

We set our given denominator factors to zero and solve for x.

x - 1 = 0

x = 1

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x + 7 = 0

x = -7

Your answer is: the Domain of this function is simply ALL REAL NUMBERS EXCEPT that x CANNOT be 1 or -7.

Got it?

In other words, if you replace x with 1 and -7, the denominator will result in division by zero, which does not exist.

In your math book, you may the see the word UNDEFINED, which means DOES NOT EXIST.