🔄 Dive into Inversas: Unravel the Mystery of Functions! 📚✨

Question 1

🔍 Problem 1: What's the Inverse? 🔄

Accepted Answer

h^(-1)(x) = (x - 3)/6

Answer

h^(-1)(x) = 6x + 3

Answer

h^(-1)(x) = 3/(x - 6)

Answer

h^(-1)(x) = 6/x + 3

Question 2

🔗 Problem 2: Composition Challenge! 🌀

Accepted Answer

f(g(x)) = 2/(x - 9)

Answer

f(g(x)) = 2x + 9

Answer

f(g(x)) = (2x + 1)/9

Answer

f(g(x)) = 2(x + 1)/x

Question 3

📏 Problem 3: Finding the Domain 🚪

Accepted Answer

Domain is [-2, 8]

Answer

Domain is all real numbers

Answer

Domain is [2, 10]

Answer

Domain is (2, 10)

Question 4

➕ Problem 4: Function Operations 🚀

Accepted Answer

f + g = (√10 + √x)

Answer

f * g = √(10x)

Answer

f(g(x)) = √(x + 10)

Answer

f - g = =√(10 - x)

Question 5

🔑 Problem 5: Solving for k 🔍

Accepted Answer

k = 6

Answer

k = 1

Answer

k = 2

Answer

k = 5