Math Problem Statement
Given the f of x equals 2x² plus 8x - 10 for the domain x is greater than or equal to k, part 1 find the least value of k for which f is one to one, part 2 Express f^-1(x) in terms of x in this case.
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Quadratic Functions
Inverse Functions
One-to-One Functions
Formulas
Quadratic Vertex Formula: x = -b / 2a
Quadratic Formula: x = [-b ± √(b² - 4ac)] / 2a
Theorems
Horizontal Line Test (for determining if a function is one-to-one)
Quadratic Formula (for solving quadratic equations)
Suitable Grade Level
Grades 10-12
Related Recommendation
Finding the Least Value of k and the Inverse for a Quadratic Function
Find the Least Value of k for Which f(x) = 10x - 10 is One-to-One
Find Greatest Possible Value of k and Inverse Function of f(x)
Finding the Inverse of a One-to-One Function f(2) = -8
Finding the Domain for One-to-One Function and Its Inverse: f(x) = (x-8)^2