Math Problem Statement
Solution
The image contains a mathematical problem involving the function . It asks for the domain of this function.
To find the domain of , we need to determine where the function is defined. The function is undefined where the denominator is zero, so we set the denominator equal to zero and solve for :
Therefore, is undefined at . The domain of is all real numbers except . In interval notation, this is:
Would you like more details or have any other questions on this topic?
- How do you determine the range of the function ?
- What happens to the function as approaches from the left and from the right?
- How would the graph of this function look?
- Can you explain the concept of vertical asymptotes in relation to this function?
- How would the function change if the numerator was a variable term instead of a constant?
Tip: When finding the domain of rational functions, always check for values that make the denominator zero, as these are excluded from the domain.
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Math Problem Analysis
Mathematical Concepts
Rational Functions
Domain of a Function
Formulas
f(x) = 5 / (2x - 9)
Theorems
To find the domain, exclude values where the denominator is zero.
Suitable Grade Level
Grades 9-12