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

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

Academy Algebra II/Trig 6.1: Composite Functions HW: p (16, 18, 22, 30, 34) Project Due Wednesday: 1/30 Quiz 2.1, 6.1, 6.2: Thursday 1/31

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Suppose f(x) = 2x 2 – 3 and g(x) = 4x. Find the following. 1.)2.)

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

Suppose f(x) = 2x 2 – 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.

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Graphs of inverses.  Inverses are a reflection over the line y = x. (Domain and range switch)

One-to-one  To have an inverse, a function needs to be one-to-one.  It must pass both the vertical line test and horizontal line test for the function to be one-to-one. Is one-to-one?

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.)