Inverse Functions

Is the inverse of f(x) a function?

Use the Horizontal Line Test

• yes

• no

Is the inverse of f(x) = x² - 5 a function?

Use the Horizontal Line Test

• yes

• no

Is the inverse of f(x) = x² - 5, x ≥ 0 a function?

Use the Horizontal Line Test

• yes

• no

Find the inverse of f(x) = x² - 5, x ≥ 0

• g(x) = √(x) + 5

• g(x) = ∛(x-5)

• g(x) =√(x+5)

• g(x) = x² - 5

Are these inverse functions?

• no

• yes

• no way to tell

Are the blue and red graphs inverse functions?

• yes

• no

• no way to tell

• yes

• no

• -π/3

• 4π/3

• -2π/3

• π/3

• 0

• π/2

• 2π

• π

• A

• B

• C

• D