Functions and Their Inverse

What is the domain and range of the function f(x)=2^(x-4)+5?

• D: (-∞, ∞)
  R: [4, ∞)

• D: (-∞, ∞)
  R: (-∞, ∞)

• D: (-∞, ∞)
  R: [5, ∞)

• D: (-∞, ∞)
  R: (∞, 5]

What is the equation that the inverse will reflect across?

• y = x

• y = 0

• x = 0

• Potato

What is the DOMAIN of the function?

• All Real Numbers

• x ≤ 4

• x > 4

• 0 ≤ x ≤ 4

Evaluate f(-5)

• 0

• 2

• 5

• -4

What is the best description?

• They are both functions, but not inverse functions.

• They are inverse functions.

• They are reflected over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

are these inverse functions?

• no

• yes

• no way to tell

What is the domain and range of the function g(x)=3^(x-2)+7?

• D: (-∞, ∞)
  R: [2, ∞)

• D: (-∞, ∞)
  R: (-∞, ∞)

• D: (-∞, ∞)
  R: [7, ∞)

• D: (-∞, ∞)
  R: (∞, 7]

When finding the inverse of a relation, 
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

• solve for y

• replace y with f^-1(x)

• solve for x

• find the greatest common factor