Math Problem Statement

If g(x) = 2x - 1, then g(2) =

Solution

The problem asks to find g(2)g(2) given the function g(x)=2x1g(x) = 2x - 1.

To solve this, we simply substitute x=2x = 2 into the function:

g(2)=2(2)1g(2) = 2(2) - 1

g(2)=41=3g(2) = 4 - 1 = 3

So, g(2)=3g(2) = 3.

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

  1. What is g(x)g(x) if x=1x = -1?
  2. How do you find the value of g(x)g(x) for any given xx?
  3. What is the slope of the function g(x)=2x1g(x) = 2x - 1?
  4. How would the graph of the function g(x)=2x1g(x) = 2x - 1 look like?
  5. What happens to g(x)g(x) as xx increases?

Tip: When working with linear functions, always identify the slope (the coefficient of xx) and the y-intercept (the constant term). This helps in understanding how the function behaves as xx changes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

g(x) = 2x - 1

Theorems

Substitution Method

Suitable Grade Level

Grades 6-8