Radical functions and rational exponents
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Radical Functions and Rational Exponents. Chapter 7. 7-1 Roots and Radical Expressions. 7-1 Roots and Radical Expressions. 7-1 Roots and Radical Expressions. 7-1 Roots and Radical Expressions. 7-2 multiplying and dividing rational expressions. simplifying radical expressions.

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7-2 multiplying and dividing rational expressions

Homework:

page 378 (1-27) odd

page 383 (1-33) odd









7 4 rational exponents
7-4 Rational Exponents

  • Another way to write a radical expression is with a rational exponent:











7 5 solving radical equations
7-5 Solving Radical Equations

  • A radical equation is an equation that has a variable in a radicand (or variable with a fractional exponent.)

  • If the radical has index 2, the equation is a square root equation.

  • To solve a radical equation, isolate the radical expression, then raise both sides of the equation to the same power.









7 6 composition of functions1
7-6 Composition of Functions

  • find f(g(x)) and g(f(x))



7 7 inverse functions1
7-7 Inverse Functions

  • Since an inverse exchanges x values with the y values, to find an inverse of an equation you can interchange x and y, and then solve the equation for y.


7 7 inverse functions2
7-7 Inverse Functions

  • Find the inverse for each function.



7 7 inverse functions4
7-7 Inverse Functions

  • homework

  • page 406 (1-11, 23-41) odd

  • page 416 (5-21) odds – only find the inverse functions, you do not need to graph these


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