Vanael V

03 Maret 2024 01:35

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Vanael V

03 Maret 2024 01:35

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Tolong ya, terimakasih

Tolong ya, terimakasih

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Sumber W

Silver

13 Maret 2024 09:29

Jawaban terverifikasi

<p>a. f(x) = 2x + 4 dan g(x) = x - 5</p><p>&nbsp; &nbsp; &nbsp;(f + g)(x) = f(x) + g(x)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (2x + 4) + (x - 5)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 2x + 4 + x - 5</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= <strong>3x - 1</strong></p><p>&nbsp;</p><p>b. f(x) = x<sup>2</sup> - 2x dan g(x) = x<sup>2</sup> + 1</p><p>&nbsp; &nbsp; &nbsp;(f - g)(x) = f(x) - g(x)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (x<sup>2</sup> - 2x) - (x<sup>2</sup> + 1)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = x<sup>2</sup> - 2x - x<sup>2</sup> - 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = <strong>-2x - 1</strong></p><p>&nbsp;</p><p>c. f(x) = x - 5 dan g(x) = x + 2</p><p>&nbsp; &nbsp; &nbsp;(f × g)(x) = f(x) × &nbsp;g(x)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (x - 5)(x + 2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= x<sup>2</sup> + 2x - 5x - 10</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= <strong>x<sup>2</sup> - 3x - 10</strong></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</p>

a. f(x) = 2x + 4 dan g(x) = x - 5

     (f + g)(x) = f(x) + g(x)

                       = (2x + 4) + (x - 5)

                       = 2x + 4 + x - 5

                       = 3x - 1

 

b. f(x) = x2 - 2x dan g(x) = x2 + 1

     (f - g)(x) = f(x) - g(x)

                      = (x2 - 2x) - (x2 + 1)

                      = x2 - 2x - x2 - 1

                      = -2x - 1

 

c. f(x) = x - 5 dan g(x) = x + 2

     (f × g)(x) = f(x) ×  g(x)

                       = (x - 5)(x + 2)

                       = x2 + 2x - 5x - 10

                       = x2 - 3x - 10

                 


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