Math Problem Statement
If f(x) = (x + 2) / (x + 3), which function is the inverse of f?
a. ( 1 + x ) ( 1 − x )
b. ( 3 x − 2 ) ( 1 − x )
c. ( 3 x − 1 ) ( x − 2 )
d. ( 3 x − 2 ) ( 1 + x )
Solution
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Math Problem Analysis
Mathematical Concepts
Inverse Functions
Algebra
Rational Functions
Formulas
Inverse function formula: f^{-1}(x) = (2 - 3x) / (x - 1)
f(x) = (x + 2) / (x + 3)
Theorems
Inverse Function Theorem
Properties of Rational Functions
Suitable Grade Level
Grades 9-12
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