How do you find the domain of this function f(x)=1/(3x-6)?

2 Answers
Alan P.
Apr 25, 2015

The only value of x for which f(x) = 1/(3x-6) is not defined is x=2 (since this would result in division by zero).

The Domain of f(x) is
(-oo,2)uu(2,+oo)

bp
Apr 25, 2015

Domain (-oo,2)U(2,oo)

To find the domain of a function, we first identify the values of x for which f(x) becomes undefined. In the present case, it is observed that if x=2, then f(x) becomes 1/0 or oo. Hence the domain would be all real numbers except 2. In interval notation it can be expressed as (-oo,2)U(2,oo). In the set builder notation it would be written as {x:inR | x!in2}

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