Rafa A

23 Oktober 2023 15:15

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Rafa A

23 Oktober 2023 15:15

Pertanyaan

Jika diketahui h(x) =ax+b h(-1) = -5, h(2) =4 tentukan A. Rumus fungsi h(x) B. Bayangan -6

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23 Oktober 2023 16:17

<p>h(x) = ax + b</p><p>h(-1) = 5 --&gt; -a + b = 5 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;...(1)</p><p>h(2) = 4 &nbsp;--&gt; 2a + b = 4 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;...(2)</p><p>&nbsp;</p><p><strong>Eliminasi b untuk mendapatklan nila a</strong></p><p>-a + b = 5&nbsp;</p><p><u>2a + b = 4 &nbsp;&nbsp;</u> _</p><p>-3a &nbsp; &nbsp; &nbsp; = 1</p><p>a = -1⁄3</p><p>&nbsp;</p><p><strong>Substitusikan a = &nbsp;-1⁄3 ke persamaan (1)</strong></p><p>-(-1⁄3) + b = 5 &nbsp;</p><p>1⁄3 + b = 5</p><p>b = 5 -1⁄3</p><p>&nbsp; &nbsp; = 15⁄3 -1⁄3</p><p>&nbsp; &nbsp; = 14⁄3</p><p><strong>A. Rumus Fungsi</strong></p><p>&nbsp; &nbsp; &nbsp;<strong> h(x) = -1⁄3 x + 14⁄3</strong></p><p><strong>B. Bayangan &nbsp;-6</strong></p><p>&nbsp; &nbsp; &nbsp;h(-6) = -1⁄3 (-6) + 14⁄3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 6⁄3 + 14⁄3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; =<strong> 20⁄3</strong></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</p>

h(x) = ax + b

h(-1) = 5 --> -a + b = 5                    ...(1)

h(2) = 4  --> 2a + b = 4                    ...(2)

 

Eliminasi b untuk mendapatklan nila a

-a + b = 5 

2a + b = 4    _

-3a       = 1

a = -1⁄3

 

Substitusikan a =  -1⁄3 ke persamaan (1)

-(-1⁄3) + b = 5  

1⁄3 + b = 5

b = 5 -1⁄3

    = 15⁄3 -1⁄3

    = 14⁄3

A. Rumus Fungsi

      h(x) = -1⁄3 x + 14⁄3

B. Bayangan  -6

     h(-6) = -1⁄3 (-6) + 14⁄3

                = 6⁄3 + 14⁄3

                = 20⁄3

                


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