Warm Up #3

HW Check – Composition of Functions Worksheet

Function Operations Practice G(3) Given F(x) = -4x and 2(G(3)) G(x) = 2x – 6 F(x) + G(x) find the following: G(x) – F(x) F(x)G(x) G(F(x))

7.7 - Functions and Inverses

Inverses An INVERSE RELATION “undoes” the relation. The Inverse of f(x) is denoted by f-1(x)

Inverse So if f(x) = x – 5 Then f-1(x) = x + 5

Domains and Ranges The domain of a relation’s inverse is its range, and the range of a relation’s inverse is its domain. f(x): D R f-1(x): D R -1 2 6 7 -1 2 6 7 1 2 4 1 2 4

More Inverse Find the inverse of the following relation: {(2,3), (4,5), (1,3)}

You try! Find the inverse of the following relation: {(3,4), (-4, -6), (-3, 2), (6, -1)}

Functionality of Inverses If a relation is a function, does it’s inverse have to be??

How to find the inverse of a function: Step 1: Switch the x and y Step 2: Solve for y Ex: y = 5x - 15

Find the inverse: y = 6 – 2x + 9x

Find the inverse:

You Try! Find the Inverse of the following: y = -5 + x y = 2x + 10 3.