Ppik K

02 April 2023 05:34

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Ppik K

02 April 2023 05:34

Pertanyaan

Diketahui f(x)=5x²-3 dan g(x)=2x+1 tentukan nilai (gof)(-1)

Diketahui f(x)=5x²-3 dan g(x)=2x+1 tentukan nilai (gof)(-1)


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Fidan K

02 April 2023 05:43

Jawaban terverifikasi

<p>f(x) = 5x² - 3&nbsp;</p><p>g(x) = 2x + 1</p><p>(gof) (-1) = ?</p><p>(gof) (x) = 2 (5x² - 3) + 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 10x² - 6 + 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 10x² - 5</p><p>(gof) (-1) = 10(1)² - 5</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 10 - 5 = 5</p>

f(x) = 5x² - 3 

g(x) = 2x + 1

(gof) (-1) = ?

(gof) (x) = 2 (5x² - 3) + 1

               = 10x² - 6 + 1

               = 10x² - 5

(gof) (-1) = 10(1)² - 5

                 = 10 - 5 = 5


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Sumber W

Silver

02 April 2023 05:46

Jawaban terverifikasi

<p><strong>Diketahui :</strong></p><ul><li>f(x) = 5x² - 3</li><li>g(x) = 2x + 1&nbsp;</li></ul><p>&nbsp;</p><p><strong>Ditanya :&nbsp;</strong></p><ul><li>(gof)(-1)?</li></ul><p>&nbsp;</p><p>&nbsp;</p><p><strong>Penyelesaian :</strong></p><p>(gof)(x) = 2(5x² - 3) + 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 10x² - 6 + 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 10x² - 5</p><p>(gof)(-1) = 10(-1)² - 5</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 10(1) - 5</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 10 - 5</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = <strong>5</strong></p>

Diketahui :

  • f(x) = 5x² - 3
  • g(x) = 2x + 1 

 

Ditanya : 

  • (gof)(-1)?

 

 

Penyelesaian :

(gof)(x) = 2(5x² - 3) + 1

                = 10x² - 6 + 1

                = 10x² - 5

(gof)(-1) = 10(-1)² - 5

                  = 10(1) - 5

                  = 10 - 5

                  = 5


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