Inverses Review

• f(x) and g(x) are inverses with no domain restriction on either function.

• f(x) and g(x) are inverses if the domain of f(x) is restricted.

• f(x) and g(x) are inverses if the domain of g(x) is restricted

• f(x) and g(x) are not inverses

If f(x) and g(x) are inverse functions, which statements are true? SELECT ALL THAT APPLY.

• f(x) and g(x) are reflection images over y=x

• The domain of f is the range of g and vice versa.

• f(g(x)) = g(f(x)) = x

• The functions are equivalent.

To write the inverse of a function, you must do all of the following, EXCEPT:

• switch x and y

• solve for the input

• find the composite

Are these functions inverses of each other? Justify your answer algebraically.

• Yes

• No

To prove two functions are inverses of each other, both f(g(x)) and g(f(x) should equal...

• 1

• x

• 0

• y

• A
• B
• C
• D

• A
• B
• C
• D