Do Now: Given f(x) = 2x + 8 and g(x) = 3x2 – 1 find the following.

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Do Now: Given f(x) = 2x + 8 and g(x) = 3x2 – 1 find the following. 1.) (f + g)(x) 2.) g(x – 2)

Academy Algebra II/Trig 6.1: Composite Functions HW: p.407-408 (16, 18, 23, 29, 30, 34)

Compositions Given two functions f and g, the composite function, denoted by and read f composed with g, is defined by

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Suppose f(x) = 2x2 – 3 and g(x) = 4x. Find the following. 3.) 4.)

Suppose f(x) = 2x2 – 3 and g(x) = 4x. Find the following. 5.) 6.)

Suppose . Find and determine the domain.

Suppose and . Find and determine the domain.

Domain of Domain of is the domain g(x) in the domain of f.

Academy Algebra II/Trig 6.2: One-to-one functions & Inverses

Verifying Inverses If and , then f and g are inverses of each other.

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Find the inverse algebraically, if the inverse exists. 1.)

Find the inverse algebraically, if the inverse exists. 2.)

Find the inverse algebraically, if the inverse exists. 3.)