Asya C

01 Februari 2023 20:24

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Asya C

01 Februari 2023 20:24

Pertanyaan

diketahui f(x) = x - 1 dan g(x) = x + 3, tentukan lah: a. (fog) (x) b. (gof)(x) c. (fog) (2) d. (gof) (2)

diketahui f(x) = x - 1 dan g(x) = x + 3, tentukan lah: a. (fog) (x) b. (gof)(x) c. (fog) (2) d. (gof) (2)

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Prima P

01 Februari 2023 20:43

<p>f(x) = x - 1</p><p>g(x) = x + 3</p><p>&nbsp;</p><p>(fog)(x) = (f(g(x))</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = f(x + 3)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = x + 3 - 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = x + 2</p><p>(fog)(2) = 2 + 2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 4</p><p>(gof)(x) = (g(f(x))</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = g(x - 1)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = x - 1 + 3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = x + 2</p><p>(gof)(2) = 2 + 2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 4</p><p>&nbsp;&nbsp;</p><p>&nbsp; &nbsp; &nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</p>

f(x) = x - 1

g(x) = x + 3

 

(fog)(x) = (f(g(x))

              = f(x + 3)

              = x + 3 - 1

              = x + 2

(fog)(2) = 2 + 2

               = 4

(gof)(x) = (g(f(x))

              = g(x - 1)

              = x - 1 + 3

              = x + 2

(gof)(2) = 2 + 2

               = 4

  

     

         


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