g(3) = 3^2 - 4(3) + 5 = 9 - 12 + 5 = 2 - AIKO, infinite ways to autonomy.
Understanding g(3) = 3² – 4(3) + 5 and Why It Equals 2: A Clear Step-by-Step Breakdown
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.
Image Gallery
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:
📰 Rigetti Stock 📰 Rigetti Stock Price 📰 Rigetti Stock Price Prediction 📰 Dont Miss These 2024 Roth Ira Limitsmaximize Your Tax Free Savings Today 4648101 📰 Batfamily 1432806 📰 How Much Water Should I Drink 9236909 📰 Heal In Spanish 2371890 📰 You Wont Believe Whats Hidden In The Npi Lookup Colorado Revealsshocking Details Inside 8954385 📰 Thor And Thor The Dark World 4709576 📰 You Wont Believe What Happens When You Increase Your Hat Game 3600488 📰 Wells Fargo Bank Official Website 4900342 📰 How To Change Resolution On Screen 2228216 📰 Click To Reveal The Mysterious 3 Alphabet Words Hiding In Plain Sight 9033136 📰 Unlock Equating Performance Why The Dualsense Edge Controller Is A Must Have 6632856 📰 Parkview Apartments 5049283 📰 Double Your Tax Refund Fastheres How The Fidelity 1099 Form Can Change Your Year 7410631 📰 The Richest Insider Insights Us Head Of Health And Human Services Exposes Shocking Health Policies 9638121 📰 Sp Index Funds The Ultimate Shortcut To Foolproof Long Term Investment Success 3358119Final 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
- First: 9 – 12 = -3
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.
