f\left(-\frac32\right) = 4\left(-\frac32 + \frac32\right)^2 = 4 \cdot 0 = 0 - DNSFLEX
Understanding the Mathematical Expression: f(–3/2) = 4(–3/2 + 3/2)² = 0
Understanding the Mathematical Expression: f(–3/2) = 4(–3/2 + 3/2)² = 0
Mathematics often reveals elegant simplicity beneath seemingly complex expressions. One such example is the function evaluation:
f(–3/2) = 4(–3/2 + 3/2)² = 0
At first glance, this equation may appear puzzling, but careful analysis uncovers its underlying logic. This article explains step-by-step how and why this expression simplifies to 0, showing the power of basic algebraic operations.
Understanding the Context
The Function: Step-by-Step Breakdown
The function f(x) at x = –3/2 is defined by the formula:
f(–3/2) = 4(–3/2 + 3/2)²
Key Insights
Let’s simplify the expression inside the parentheses:
–3/2 + 3/2 = 0
This is simply the sum of a number and its inverse on the number line—thingally zero.
Evaluating the Square
🔗 Related Articles You Might Like:
📰 Transform Your Spider-Man Fixation into Art with These Must-Collect Spider-Man Coloring Pages! 📰 Secret Spider-Man Coloring Sheets: Fun, Free Pages for Kids & Fans Alike! 📰 Bring Spider-Man to Life: Click to Grab Stunning Coloring Pages You’ll Actually Love! 📰 Unsurpassed Control Muzan Kibutsujis Mind Games Revealed His Influence Lasts Forever 📰 Untold Secrets The Real Minecraft Movie Characters You Didnt Know About 📰 Unveil The Hidden Multiversus Roster Meet The Legends Across Every Universe 📰 Unveiled The 10 Basics Every Minecraft Crafting Fan Must Know 📰 Unveiled The Most Epic Computer Cases That Will Leave You Speechless 📰 Unveiled The Surprising Truth About Muscat Grapes That Will Boost Your Wine Game 📰 Unvergelte Monster Hunting Secrets Revealed Play Like Never Before 📰 Unwrap The Magic Mini Wine Bottles That Are Bigger On Style And Value 📰 Up Close The Mother Teresa Slogan That Defined Selfless Love Heres Why It Still Resonates 📰 Update Alert Mortal Kombat 4 Just Redefined The Fight Gamedont Miss Out 📰 Updated 2024 Why Moss Agate Engagement Rings Are The Ultimate Symbol Of Eternal Growth 📰 Upgrade Your Laptop Forever Modular Designs Let You Customize Like Never Beforeclaim Yours Now 📰 Upgrade Your Snack Game These Mini Cakes Are The Cutest And Yummiest Treats Around 📰 Upgrade Your Space The Hottest Modern Floor Lamps Of 2025 You Cant Afford To Miss 📰 Upgrade Your Tv Experience Movies 4K Explode With Stunning Clarity ColorFinal Thoughts
Next, we square the result:
(–3/2 + 3/2)² = 0² = 0
Since any number squared equal to zero remains zero, this directly yields:
f(–3/2) = 4 × 0 = 0
Why This Matters
This example demonstrates a foundational principle in algebra: when an expression inside parentheses evaluates to zero, squaring it results in zero—then scaling by any real number (in this case, 4) preserves this property.
In broader terms, such evaluations help identify roots of functions, test symmetry, or simplify complex expressions in calculus and engineering.
