LT 34 Inverse of a function

Front

What is the inverse of the function f(x) = -4x - 12?

Back

f⁻¹(x) = -1/4x - 3

Tags

CCSS.HSF-BF.B.4A

Front

What is the inverse of the points (1,3)(2,4)(6,8)?

Back

(3,1)(4,2)(8,6)

Tags

CCSS.HSF-BF.B.4C

Front

What does it mean for two functions to be inverse functions?

Back

They are functions that 'undo' each other, meaning f(f⁻¹(x)) = x and f⁻¹(f(x)) = x.

Tags

CCSS.HSF-BF.B.4B

Front

How do you find the inverse of a function algebraically?

Back

1. Replace f(x) with y. 2. Swap x and y. 3. Solve for y. 4. Replace y with f⁻¹(x).

Tags

CCSS.HSF-BF.B.4A

Front

If f(x) = 3x - 9, what is f⁻¹(12)?

Back

7

Tags

CCSS.HSF-BF.B.4A

Front

What is the graphical representation of inverse functions?

Back

Inverse functions are reflections of each other over the line y = x.

Tags

CCSS.HSF-BF.B.4C

Front

What is the condition for a function to have an inverse?

Back

A function must be one-to-one (bijective) to have an inverse.

Tags

CCSS.HSF-BF.B.4D

Front

What is the inverse of the function f(x) = x² for x ≥ 0?

Back

f⁻¹(x) = √x.

Tags

CCSS.HSF-BF.B.4D

Front

If f(x) = 2x + 3, what is f⁻¹(x)?

Back

f⁻¹(x) = (x - 3)/2.

Tags

CCSS.HSF-BF.B.4A

Front

What is the inverse of the function f(x) = -x + 5?

Back

f⁻¹(x) = -x + 5.

Tags

CCSS.HSF-BF.B.4A