Question 158109: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
FIND THE DOMAIN OF THE RATIONAL FUNCTION.
g(x)= 6x / (x-1)(x+7)
Answer by midwood_trail(310)   (Show Source):
You can put this solution on YOUR website! 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
=========
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.
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