Math Problem Statement

For the function g\left(x\right)=-3x+5

what is g\left(2\right)?

Solution

To find g(2)g(2) for the function g(x)=3x+5g(x) = -3x + 5, substitute x=2x = 2 into the equation:

g(2)=3(2)+5g(2) = -3(2) + 5

Simplify:

g(2)=6+5=1g(2) = -6 + 5 = -1

Thus, g(2)=1g(2) = -1.

Would you like further details or explanations? Here are some related questions to consider:

  1. What is the slope of the function g(x)=3x+5g(x) = -3x + 5?
  2. What is the y-intercept of the function g(x)=3x+5g(x) = -3x + 5?
  3. Can you graph the function g(x)=3x+5g(x) = -3x + 5?
  4. What would g(0)g(0) equal for g(x)=3x+5g(x) = -3x + 5?
  5. How does the negative slope impact the behavior of the graph?

Tip: Substituting values is a key step in evaluating functions—double-check calculations to avoid simple errors!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Evaluation

Formulas

g(x) = -3x + 5

Theorems

Definition of a Linear Function

Suitable Grade Level

Grades 6-8