Math Problem Statement
The function ff is defined by f, of, x, equals, minus, x, cubed, minus, 3, x, minus, 5f(x)=−x3−3x−5 and the point left parenthesis, 1, comma, minus, 9, right parenthesis(1,−9) is on the graph of f, .f. If g, of, x, equals, f, to the power minus 1 , left parenthesis, x, right parenthesisg(x)=f−1(x), what is the value of g, prime, of, minus, 9, question markg′(−9)?
Answer
Solution
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Math Problem Analysis
Mathematical Concepts
Inverse Functions
Derivatives
Formulas
Derivative of a cubic function
Derivative of an inverse function
Theorems
Inverse function theorem
Suitable Grade Level
Advanced High School
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