Philip P. answered • 08/25/17
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1/(6x+6)
Division by zero is undefined, so x cannot equal -1. Domain is all real numbers except x=-1.
Tami M.
Horrid at*
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08/25/17
Arturo O.
Tami,
You cannot have the denominator equal to 0. To find a forbidden range for x, set the denominator equal to 0, solve for x, and exclude the value(s) of x that made the denominator equal to 0.
6x + 6 = 0
6x = -6
x = -6/6 = -1
Therefore, the domain is all real numbers except -1.
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08/25/17
Tami M.
Ohhh Ok! Thank you, makes sense now!
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08/25/17
Arturo O.
You are welcome, Tami. By the way, in the future, please post problems like this with parentheses:
1/(6x + 6)
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08/25/17
Zac M.
I don't understand this problem HELP PLEASE Find the domain of the function F(x)=1/6x+2 what is the only value of x not in the domain?
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01/13/21
Philip P.
Assuming you mean 1/(6x+2), then the denominator cannot equal zero because division by zero is undefined (what does it mean to divide by 0?). The denominator is (6x + 2) so you cannot have 6x + 2 = 0. Solve for x and you get x = -1/3. So x = -1/3 is excluded from the domain because it makes the denominator equal to zero. All other values of x are permitted; that is they are in the domain.
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01/13/21
Tami M.
08/25/17