5-6 key.pdf - Name savvasrealize.com 5-6 Additional Practice ... - Free Printable

Educational worksheet: 5-6 key.pdf - Name savvasrealize.com 5-6 Additional Practice .... Download and print for classroom or home learning activities.

JPG 180×233 9.6 KB Free · Personal Use

Quality Assured by Worksheets Library Team

Reviewed for educational accuracy and age-appropriateness

ID: #1336185

✨ Generate New Worksheet

⭐

Show Answer Key & Explanations Step-by-step solution for: 5-6 key.pdf - Name savvasrealize.com 5-6 Additional Practice ...

▼

1. f(x) = 3x + 2; g(x) = x²
- f(g(x)) = f(x²) = 3x² + 2
- g(f(x)) = g(3x + 2) = (3x + 2)² = 9x² + 12x + 4

2. f(x) = 5x - 1; g(x) = x² - 1
- f(g(x)) = f(x² - 1) = 5(x² - 1) - 1 = 5x² - 5 - 1 = 5x² - 6
- g(f(x)) = g(5x - 1) = (5x - 1)² - 1 = 25x² - 10x + 1 - 1 = 25x² - 10x

3. f(x) = √x; g(x) = 2x - 3
- f(g(x)) = f(2x - 3) = √(2x - 3)
- g(f(x)) = g(√x) = 2√x - 3

4. f(x) = 1/x; g(x) = x + 2
- f(g(x)) = f(x + 2) = 1/(x + 2)
- g(f(x)) = g(1/x) = 1/x + 2

5. f(x) = 2x + 1; g(x) = 3x - 2
- f(g(x)) = f(3x - 2) = 2(3x - 2) + 1 = 6x - 4 + 1 = 6x - 3
- g(f(x)) = g(2x + 1) = 3(2x + 1) - 2 = 6x + 3 - 2 = 6x + 1

6. f(x) = x² + 2x; g(x) = x - 1
- f(g(x)) = f(x - 1) = (x - 1)² + 2(x - 1) = x² - 2x + 1 + 2x - 2 = x² - 1
- g(f(x)) = g(x² + 2x) = (x² + 2x) - 1 = x² + 2x - 1

Parent Tip: Review the logic above to help your child master the concept of inverse relations and functions worksheet.

Print Download

How to use

Click Print to open a print-ready version directly in your browser, or use Download to save the file to your device. The ⭐ Answer button generates an AI answer key instantly - useful for teachers who need a quick reference. Need a different version? Our AI Worksheet Generator lets you create a custom worksheet on any topic in seconds.

Related worksheets: inverse relations and functions worksheet