Nur S

09 Oktober 2024 12:24

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Nur S

09 Oktober 2024 12:24

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Nailah N

09 Oktober 2024 17:02

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<p>Komposisi fungsi</p><p>3. Dik: f(x) = 3x - 2&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; g(x) = 10 - 2x</p><p>&nbsp; &nbsp; &nbsp;a.) f•g = f(g(x))</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = f(10 - 2x)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3(10 - 2x) - 2&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 30 - 6x - 2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = - 6x + 28</p><p>&nbsp; &nbsp; &nbsp; b.) g•f= g(f(x))&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= g(3x - 2)&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 10 - 2(3x - 2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 10 - 6x + 4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= - 6x + 14</p><p>&nbsp; &nbsp; &nbsp; &nbsp;c.) f•f = f(3x - 2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3(3x - 2) - 2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 9x - 6 - 2&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 9x - 8</p><p>&nbsp; &nbsp; &nbsp; &nbsp; d.) g•g = g(g(x))&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 9(10 - 2x)&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 10 - 2(10 - 2x)&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 10 - 20 + 4x&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 4x - 10</p><p>&nbsp;</p><p>&nbsp;</p>

Komposisi fungsi

3. Dik: f(x) = 3x - 2 

            g(x) = 10 - 2x

     a.) f•g = f(g(x))

          = f(10 - 2x)

          = 3(10 - 2x) - 2 

          = 30 - 6x - 2

          = - 6x + 28

      b.) g•f= g(f(x)) 

           = g(3x - 2) 

           = 10 - 2(3x - 2)

           = 10 - 6x + 4

           = - 6x + 14

       c.) f•f = f(3x - 2)

                  = 3(3x - 2) - 2

                  = 9x - 6 - 2 

                  = 9x - 8

        d.) g•g = g(g(x)) 

                     = 9(10 - 2x) 

                     = 10 - 2(10 - 2x) 

                     = 10 - 20 + 4x 

                     = 4x - 10

 

 


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