Math Problem Statement

f(x)= -3x² +4x+5 f(x)-f f f(x)=2 T=f. T=constriction. Lange Franças

Solution

It looks like you're working with a mathematical expression involving the function f(x)=3x2+4x+5f(x) = -3x^2 + 4x + 5. However, the way the expression is written is a bit unclear, particularly with the terms "f(x) - f," "f(x) = 2," "T = f," and "T = constriction."

Let's break it down based on what I understand:

  1. Function: f(x)=3x2+4x+5f(x) = -3x^2 + 4x + 5.

  2. Expression Involving f(x)f(x): It seems you might be trying to subtract a value or another function from f(x)f(x). Could you clarify what you meant by "f(x) - f"?

  3. Condition f(x)=2f(x) = 2: If you're setting f(x)=2f(x) = 2, we can solve for xx by setting the equation equal to 2 and solving: 3x2+4x+5=2-3x^2 + 4x + 5 = 2 Simplifying: 3x2+4x+3=0-3x^2 + 4x + 3 = 0 This is a quadratic equation. You can use the quadratic formula to solve for xx.

  4. T = constriction: The term "T = constriction" seems to refer to some constraint or transformation, but I would need more context to understand what exactly this refers to.

If you could provide a bit more detail about the expression and the terms you are using, I can guide you through solving it.

Do you want me to go ahead and solve for xx where f(x)=2f(x) = 2?


Related questions you might find helpful:

  1. What is the process of solving quadratic equations using the quadratic formula?
  2. How do transformations like translations or reflections affect the graph of a quadratic function?
  3. What is the vertex form of a quadratic equation, and how do you convert to it?
  4. How do you calculate the discriminant of a quadratic equation, and what does it tell you?
  5. What does "constriction" refer to in the context of functions?

Tip: When solving quadratic equations, always first check if you can factor the expression before jumping straight to the quadratic formula.

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Function Analysis
Constraints

Formulas

Quadratic equation formula ax^2 + bx + c = 0
Quadratic formula

Theorems

Quadratic formula

Suitable Grade Level

Grades 9-11