4-2 Inverse Functions. * Right Answer : D Graph and recognize inverses of relations and functions. Find inverses of functions.

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Presentation transcript:

4-2 Inverse Functions

* Right Answer : D

Graph and recognize inverses of relations and functions. Find inverses of functions.

* You have seen the word inverse used in various ways. * The additive inverse of 3 is –3. * The multiplicative inverse matrix

* Graph the relation and connect the points. Then graph the inverse. Identify the domain and range of each relation. x2569 y0158

Domain:{x|2 ≤ x ≤ 9} Range :{y|0 ≤ x ≤ 8} Domain:{x|0 ≤ x ≤ 8} Range :{y|2 ≤ x ≤ 9}

* Graph the relation and connect the points. Then graph the inverse. Identify the domain and range of each relation. x13456 y01235

* Do problems 2 and 3 in your book page 245

* When the relation is also a function, you can write the inverse of the function f(x) as f –1 (x). This notation does not indicate a reciprocal. * Functions that undo each other are inverse functions

* To find the inverse function, use the inverse operation. In the example above, 6 is added to x in f(x), so 6 is subtracted to find f –1 (x).

* Use inverse operations to write the inverse of * f(x) = x – 1/2 if possible.

* Use inverse operations to write the inverse of f(x) = 3(x – 7).

* Use inverse operations to write the inverse of * f(x) = x/3

* Use inverse operations to write the inverse of f(x) = 5x – 7.

* Do problems 4- 8 in your book page 245

* Graph f(x) = – 1/2 x – 5. Then write the inverse and graph.

* Graph f(x) = 2/3x + 2. Then write the inverse and graph.

* Juan buys a CD online for 20% off the list price. He has to pay $2.50 for shipping. The total charge is $ What is the list price of the CD?

* Lets watch a video

* Do problems in your book page 245 and 246

* Today we learned about inverse functions * Next class we are going to learn about logarithmic functions