Solving Equations Using Function Notation

Question:
Let g of x equal 3x minus 4. For what value of x does g of x equal 11? Verify your solution and describe the corresponding point on the graph of g.

Solving Equations Using Function Notation

This lesson demonstrates how to find the input value of a linear function that produces a given output. Students set up and solve a two-step equation, verify the solution by substitution, and interpret the result as a point on the graph of the function.

In this lesson, you will learn to:
• Set up an equation by substituting a given output value into a linear function
• Solve a two-step linear equation using inverse operations
• Verify a solution by substituting back into the original function
• Interpret the solution as a coordinate point on the graph of the function

Course: Algebra1 · Big Ideas Math · Ron Larson · Chapter 3- Graphing Linear Functions
Level: Grade 9

Pause before each st