Math Problem Statement

f(x)=6x+5 what is f(-2)

Solution

To find f(2)f(-2) for the function f(x)=6x+5f(x) = 6x + 5, substitute 2-2 for xx in the equation:

f(2)=6(2)+5f(-2) = 6(-2) + 5

Calculate this step-by-step:

f(2)=12+5f(-2) = -12 + 5

f(2)=7f(-2) = -7

So, f(2)=7f(-2) = -7.

Would you like a detailed explanation of the steps, or do you have any questions?

Here are some related questions for further exploration:

  1. What is the slope of the linear function f(x)=6x+5f(x) = 6x + 5?
  2. How would you find the x-intercept of the function f(x)=6x+5f(x) = 6x + 5?
  3. What is the y-intercept of f(x)=6x+5f(x) = 6x + 5?
  4. How do you determine if a function is linear or nonlinear?
  5. How would you graph the function f(x)=6x+5f(x) = 6x + 5?

Tip: For linear functions in the form f(x)=mx+bf(x) = mx + b, mm represents the slope, and bb is the y-intercept.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Substitution in Functions

Formulas

f(x) = mx + b

Theorems

Linear Equation Theorem

Suitable Grade Level

Grades 6-8