Math Problem Statement

give me 2 question like this, one to solve for x value and one to solve for y. then give me the answers to the problems: g(x)=3x^ 2 −16x+48

The given equation defines the function g g. For what value of x x does g ( x ) g(x) reach its minimum?

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Optimization

Formulas

Quadratic formula: x = [-b ± √(b² - 4ac)] / 2a
Vertex formula for minimum/maximum of quadratic functions: x = -b / 2a

Theorems

Quadratic formula
Vertex theorem for optimization

Suitable Grade Level

Grades 9-10