Math Problem Statement

Identify the steps to evaluate g(2), when g(x) = 5x - 1.

Solution

It seems you have uploaded an image that involves evaluating a function g(x)=5x1g(x) = 5x - 1 at x=2x = 2.

Let's break down the steps to evaluate g(2)g(2):

Step 1: Identify that we will plug in x=2x = 2 into the function g(x)=5x1g(x) = 5x - 1.

This gives the expression: g(2)=5(2)1.g(2) = 5(2) - 1.

Step 2: Simplify the expression.

First, calculate 5(2)5(2), which equals 10. So, the expression becomes: g(2)=101.g(2) = 10 - 1.

Step 3: Simplify further.

Subtract 11 from 1010 to get: g(2)=9.g(2) = 9.

So, g(2)=9g(2) = 9.

If you need further clarification or more steps in detail, feel free to ask!

Here are some related questions to deepen your understanding:

  1. What is the importance of substituting values into functions?
  2. How do you evaluate a linear function for different values of xx?
  3. What are the steps to solving more complex functions like quadratic or cubic functions?
  4. How can you graph the function g(x)=5x1g(x) = 5x - 1?
  5. What is the general formula for evaluating a linear function at any value of xx?

Tip: Always double-check your arithmetic steps when simplifying expressions to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Functions
Substitution in Algebra
Simplification of Linear Expressions

Formulas

g(x) = 5x - 1

Theorems

Basic Arithmetic and Simplification

Suitable Grade Level

Grades 6-8