Math Problem Statement
Solution
The given function is:
You are asked to find , which means substituting into the function.
Let's compute it step-by-step:
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First, calculate :
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Next, calculate :
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Now, substitute these values into the equation:
Thus, .
Would you like more details on any step?
Here are 5 follow-up questions you might consider:
- What is the domain of ?
- How do you find the vertical asymptotes of this rational function?
- Can you simplify by factoring?
- What is the behavior of as ?
- What would be if you change the numerator to ?
Tip: When evaluating a rational function, always check whether the denominator is zero at the substitution point to avoid undefined values.
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Math Problem Analysis
Mathematical Concepts
Algebra
Rational Functions
Substitution
Formulas
p(x) = (x^2 - 4) / (2x + 1)
Substitute x = -8 into p(x)
Theorems
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Suitable Grade Level
Grades 9-12
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