Math Problem Statement
Solve and tell the correct option
Find f(-1) when f is the function given by the rule f(x) = (x - 2) / (x - 1).
Solution
We are given the function , and we need to find .
Step 1: Substitute into the function
Step 2: Simplify the expression
Conclusion:
The value of is .
The correct answer is the third option: .
Would you like further details or have any questions?
Here are 5 related questions to expand on this concept:
- What is for the same function?
- How would you find the domain of ?
- What is the value of , and why is it undefined?
- Can you express in terms of partial fractions?
- What are the horizontal and vertical asymptotes of the function?
Tip: Always check for points where the function might be undefined by considering values that make the denominator zero!
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Rational Expressions
Formulas
Substituting values into functions
Simplifying fractions
Theorems
None explicitly required; focuses on basic algebraic manipulation
Suitable Grade Level
Grades 9-10