Math Problem Statement
Find the inverse. Check your answer algebraically and graphically.
f(x) = x2 − 8x − 8, x ≤ −4
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Inverse Functions
Completing the Square
Formulas
Inverse of a function: f^{-1}(x)
Completing the square: (x - b/2)^2 = x^2 - bx + (b/2)^2
Quadratic function: ax^2 + bx + c = 0
Theorems
Inverse Function Theorem
Quadratic Formula
Suitable Grade Level
Grades 10-12