Pre-Calc Homework Solutions 27

Pre-Calc Homework Solutions 27 - Section 1.5 2x x 1 3 x x 3...

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23. y 5 } 2 x x 1 1 3 1 } xy 1 3 y 5 2 x 1 1 xy 2 2 x 5 1 2 3 y ( y 2 2) x 5 1 2 3 y x 5 } 1 y 2 2 3 2 y } Interchange x and y . y 5 } 1 x 2 2 3 2 x } f 2 1 ( x ) 5 } 1 x 2 2 3 2 x } Verify. ( f + f 2 1 )( x ) 5 f 1 } 1 x 2 2 3 2 x } 2 5 5 5 } 2 2 5 5 x } 5 x ( f 2 1 + f )( x ) 5 f 2 1 1 } 2 x x 1 1 3 1 } 2 5 5 5 } 2 2 5 5 x } 5 x 24. y 5 } x x 1 2 3 2 } xy 2 2 y 5 x 1 3 xy 2 x 5 2 y 1 3 x ( y 2 1) 5 2 y 1 3 x 5 } 2 y y 2 1 1 3 } Interchange x and y . y 5 } 2 x x 2 1 1 3 } f 2 1 ( x ) 5 } 2 x x 2 1 1 3 } Verify. ( f + f 2 1 )( x ) 5 f 1 } 2 x x 2 1 1 3 } 2 5 5 5 } 5 5 x } 5 x ( f 2 1 + f )( x ) 5 f 2 1 1 } x x 1 2 3 2 } 2 5 5 5 } 5 5 x } 5 x 25. Graph of f: x 1 5 t , y 1 5 e t Graph of f 2 1 : x 2 5 e t , y 2 5 t Graph of y 5 x: x 3 5 t , y 3 5 t [ 2 6, 6] by [ 2 4, 4] 26. Graph of f: x 1 5 t , y 1 5 3 t Graph of f 2 1 : x 2 5 3 t , y 2 5 t Graph of y 5 x: x 3 5 t , y 3 5 t [ 2 6, 6] by [ 2 4, 4] 2( x 1 3) 1 3( x 2 2) }}} ( x 1 3) 2 ( x 2 2) 2 1 } x x 1 2 3 2 } 2 1 3 }} } x x 1 2 3 2 } 2 1 (2 x 1 3) 1 3( x 2 1) }}} (2 x 1 3) 2 2( x 2 1) } 2 x x 2 1 1 3 } 1 3 }} } 2 x x 2 1 1 3 } 2 2 ( x 1 3) 2 3(2 x 1 1) }}} (2 x 1 1)
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