INVERSE FUNCTIONS PRACTICE

Front

What is the first step in finding the inverse of a function?

Back

Replace f(x) with y.

Tags

CCSS.HSF-BF.B.4A

Front

What do you do after switching x's and y's when finding an inverse?

Back

Solve for y.

Tags

CCSS.HSF-BF.B.4A

Front

What line do inverse functions reflect over?

Back

y = x.

Tags

CCSS.HSF-BF.B.4C

Front

How can you determine if two functions are inverses of each other?

Back

If f(g(x)) = x and g(f(x)) = x for all x in the domain.

Tags

CCSS.HSF-BF.B.4B

Front

What is the inverse of the function f(x) = 2x + 3?

Back

f^-1(x) = (x - 3)/2.

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

If f(x) = x^2, what is the inverse function?

Back

f^-1(x) = √x (for x ≥ 0).

Tags

CCSS.HSF-BF.B.4A

Front

What is the domain of the inverse function of f(x) = 1/x?

Back

All real numbers except 0.

Front

What is the range of the inverse function of f(x) = x^3?

Back

All real numbers.

Front

How do you find the inverse of a function algebraically?

Back

1. Replace f(x) with y. 2. Switch x and y. 3. Solve for y. 4. Replace y with f^-1(x).

Tags

CCSS.HSF-BF.B.4A