1.9k views
3 votes
Determine the domain of the function F(x) =2-x/12x^2+8x

User Siva Gopal
by
8.5k points

1 Answer

3 votes
The given function is F(x) = (2-x)/(12x^2+8x)

The domain of a function is the set of all possible values of x for which the function is defined. In this case, the function is defined for all values of x except those that make the denominator equal to zero, since division by zero is undefined.

So, to find the domain of the function, we need to find the values of x that make the denominator equal to zero and exclude them from the domain.

12x^2+8x = 0
4x(3x + 2) = 0
x = 0 or x = -2/3

Therefore, the domain of the function F(x) is all real numbers except 0 and -2/3. In interval notation, we can write the domain as:

(-∞, -2/3) U (-2/3, 0) U (0, ∞)
User Mwl
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories