g(3) = 3^2 - 4(3) + 5 = 9 - 12 + 5 = 2

Understanding g(3) = 3² – 4(3) + 5 and Why It Equals 2: A Clear Step-by-Step Breakdown

When evaluating expressions like g(3) = 3² – 4(3) + 5, it’s essential to follow the correct order of operations to arrive at the accurate result. This process not only ensures mathematical precision but also enhances understanding of algebraic evaluation—an essential skill in math and STEM education.

In this article, we’ll walk through the step-by-step calculation of g(3) = 3² – 4(3) + 5, explain why evaluating the expression correctly leads to 2, and discuss the importance of following the order of operations (often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).

Understanding the Context

What Does g(3) Mean?

In mathematics, g(x) is a function defined by the expression
g(x) = x² – 4x + 5.
Evaluating g(3) means substituting x = 3 into the function and simplifying accordingly.

Key Insights

Step 1: Substitute x = 3

Start by replacing every instance of x with 3 in the expression:
g(3) = 3² – 4(3) + 5

Step 2: Follow the Order of Operations (PEMDAS)

Now simplify the expression step-by-step:

🔗 Related Articles You Might Like:

📰 You Won’t Believe What Happened When Rivals TV Series Crossed the Line! 📰 RIVALS TV Series Exposed: The Shocking Twists That Changed Everything! 📰 Why This Rivals TV Series Is Taking The Internet By Storm (Spoilers Inside) 📰 This Movie Next Will Shock Youyou Wont Believe What Happens Next 📰 This Movie On Youtube The 2024 Share Market Hurry Before It Drops 📰 This Movie Pure Beverly Hills Ninja Energywatch The Raw Action Thats Going Viral 📰 This Movie Quote Will Made You Cry Youll Never Forget It Again 📰 This Movie Secret About Freddie Prinze Junior Will Change How You Watch His Best Films Forever 📰 This Movie Star Broke Records How They Memorized Every Line Before Night 1 Premiere 📰 This Movie Star Was Banned From Hollywood Now Watch How Their Rise Dominates Box Offices 📰 This Movie Transformer 5 Just Broke Recordsheres Why Everyones Raving 📰 This Movie With Tom Cruise And A Secret Villain Will Change Everything You Thought About Blockbusters 📰 This Movierr Movie Secret Is Breaking Waste Watch Before Its Gone Forever 📰 This Movies Ending Will Ruin Everything Get The Spoilers Now Before Its Too Late 📰 This Movies Escape Scene Will Change How You Think About Guantanamo Bay Forever 📰 This Movies Hidden Game Of Shadows Will Shock Every Fans And Gamers 📰 This Mr Magoo Moment Left Millions Speechless Watch Now To See The Unreal Magic 📰 This Mr X Cinematic Breakdown Of Resident Evil Will Blow Your Minddont Miss It

Final Thoughts

Evaluate exponents first:
3² = 9
So the expression becomes:
g(3) = 9 – 4(3) + 5
Perform multiplication next:
4 × 3 = 12
Now:
g(3) = 9 – 12 + 5
Carry out subtractions and additions from left to right:
- First: 9 – 12 = -3
- Then: -3 + 5 = 2

Final Result:

g(3) = 2

Why This Matters: The Role of Correct Order of Operations

Many students mistakenly perform operations out of sequence—like subtracting before multiplying or adding before multiplying—which leads to incorrect answers. Using PEMDAS ensures consistent, accurate computation, making it indispensable in algebra, calculus, computer science, and engineering.

Moreover, clearly understanding each step enhances mathematical fluency and prepares learners for more complex functions and equations.