4.4k views
3 votes
Analyze the function f(x)=(x−3)26x2−3x−10
a Domain
b Asymptotes

User Ecko
by
8.3k points

1 Answer

4 votes

Final answer:

The domain of the function is found by solving the equation 6x^2-3x-10=0. Vertical asymptotes can be identified by finding the values of x that make the denominator equal to zero.

Step-by-step explanation:

The domain of the function f(x) = (x-3)^2/(6x^2-3x-10) consists of all real numbers except for values that make the denominator equal to zero. To find the domain, we need to solve the equation 6x^2-3x-10=0. We can do this by factoring or using the quadratic formula. After finding the domain, we can determine the vertical asymptotes by identifying the values of x that make the denominator equal to zero. These values indicate where the graph approaches infinity or negative infinity.

User Alex Stallen
by
7.9k points

Related questions

asked Apr 3, 2022 150k views
Maxhallinan asked Apr 3, 2022
by Maxhallinan
7.3k points
2 answers
3 votes
150k views