INVERSE FUNCTIONS PRACTICE

Front

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

Back

Replace f(x) with y.

Front

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

Back

Solve for y.

Front

What line do inverse functions reflect over?

Back

y = x.

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.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

f^-1(x) = √x (for x ≥ 0).

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).