Algebra II7-4 Notes

Inverses In section 2-1 we learned that a relation

is a mapping of input values onto output values. An _______ __________ maps the output values back to their original input values:

Original Relation Inverse Relation

X -2 -1 0 1 2

y 5 3 1 -1 -3

X

y

Find an equation for the inverse of the relation: a. Y = -3x + 2

b. Y = 27x3

Inverse Functions Functions f and g are inverses of each

other provided:

The function g is denoted as:

Verifying inverse functions Verify that f(x) = 2x – 4 and f-1(x)= 1/2x

+ 2 are inverses:

Verifying inverse functions: Verify that f(x) = x5 + 2 and f-1(x) = are

inverses: 7

Graphs of inverse relations The graph of am inverse relation is the

reflection of the original graph about the line:

Find the inverse of the Graph:

• Original Function• Inverse Function

On your own: Find the equation of the inverse of:

y = 2x2

Verify that f and g are inverses:f(x) = 3x – 1 g(x) =

Homework: Section 7-4: # 14 – 34 even