Cika S

30 September 2025 14:09

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Cika S

30 September 2025 14:09

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Fadhil I

30 September 2025 14:37

<p>f(x) = 3x+2</p><p>g(x) = 2x²-4</p><p>f•g(x) = 3g(x)+2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3(2x²-4)+2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 6x²-12+2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 6x²-10</p><p>misal, hasil tsb adalah i(x)</p><p>&nbsp;</p><p>h(x) = (x+3)/(2x-1)</p><p>h•f•g(x) = h•i(x)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = {i(x)+3} / {2i(x)-1}</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = {(6x²-10)+ 3} / {2(6x²-10)-1}</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (6x²-7) / (12x²-20-1)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (6x²-7) / (12x²-21)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (6x²-7) / {3(4x²-7)}</p><p>&nbsp;</p><p>Jadi, jawabannya A</p>

f(x) = 3x+2

g(x) = 2x²-4

f•g(x) = 3g(x)+2

            = 3(2x²-4)+2

            = 6x²-12+2

            = 6x²-10

misal, hasil tsb adalah i(x)

 

h(x) = (x+3)/(2x-1)

h•f•g(x) = h•i(x)

                = {i(x)+3} / {2i(x)-1}

                = {(6x²-10)+ 3} / {2(6x²-10)-1}

                = (6x²-7) / (12x²-20-1)

                = (6x²-7) / (12x²-21)

                = (6x²-7) / {3(4x²-7)}

 

Jadi, jawabannya A


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