diketahui FX = 2 x ^ 2 + 3 dan GX 3 x - 1 Tentukan fog (x), gof (x),fog(4), dan gof (5)
Matematika
khoirul125
Pertanyaan
diketahui FX = 2 x ^ 2 + 3 dan GX 3 x - 1 Tentukan fog (x), gof (x),fog(4), dan gof (5)
1 Jawaban
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1. Jawaban msvioland
[tex]fog(x) = 2 {x}^{2} + 3 \\ fog(x) = 2( {3x - 1})^{2} + 3 \\ fog(x) = 2(3x - 1)(3x - 1) + 3 \\ fog(x) = 2(9 {x}^{2} - 6x + 1) + 3 \\ fog(x) = 18 {x}^{2} - 12x + 2 + 3 \\ fog(x) = 18 {x}^{2} - 12x + 5 \\ \\ fog(4) = 18( {4})^{2} - 12(4) + 5 \\ fog(4) = 18(16) - 48 + 5 \\ fog(4) = 288 - 43 \\ fog(4) = 245 \\ \\ gof(x) = 3x - 1 \\ gof(x) = 3(2 {x}^{2} + 3) - 1 \\ gof(x) = 6 {x}^{2} + 9 - 1 \\ gof(x) = 6 {x}^{2} + 8 \\ gof(x) = 3 {x}^{2} + 4 \\ \\ gof(5) = 3( {5})^{2} + 4 \\ gof(5) = 3(25) + 4 \\ gof(5) = 75 + 4 \\ gof(5) = 79[/tex]