Tolong ini no 25-30 ya pliss buat besok
Matematika
nafilahmaulidaf
Pertanyaan
Tolong ini no 25-30 ya pliss buat besok
1 Jawaban
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1. Jawaban fanny027
[tex]25.f(x) = 2x - 3 \: fog(x) = 2 {x}^{2} - 8x - 1 \\ fog(x) = f(g(x)) \\ 2 {x}^{2} - 8x - 1 = 2(g) - 3 \\ 2 {x}^{2} - 8x - 1 + 3 = 2g \\ 2 {x}^{2} - 8x + 2 = 2g \\ g(x) = {x}^{2} - 4x + 1[/tex]
[tex]26.f(x) = 4x - 3 \: gof(x) = 12x - 8 \\misal \: a = 4x - 3 \\ a + 3 =4x \\ x = \frac{a + 3}{4} \\ g( \frac{a + 3}{4} ) = 12( \frac{a +3 }{4} ) - 3 \\ g(a) = 3(a + 3) - 3 \\ g(a) = 3a + 9 - 3 \\ g(a) = 3a + 6 \\ g(x) = 3x + 6[/tex]
[tex]27.f(x) = 2x - 4 \\ {f}^{ - 1} = 2x - 4 \\ y = 2x - 4 \\ 2x = y + 4 \\ x = \frac{y + 4}{2} \\ {f}^{ - 1} = \frac{x + 4}{2} [/tex]
[tex]28.f(x) = 2x + 1 \\ {f}^{ - 1} (x) = 2x + 1 \\ y = 2x + 1 \\ 2x = y - 1 \\ x = \frac{y - 1}{2} \\ {f}^{ - 1} (x) = \frac{x - 1}{2} \\ {f}^{ - 1} (5) = \frac{5 - 1}{2} \\ {f}^{ - 1} (5) = \frac{4}{2} \\ {f}^{ - 1} (5) = 2[/tex]
[tex]29.f(x) = \frac{2x + 5}{3x - 4} \\ y = \frac{2x + 5}{3x - 4} \\ y(3x - 4) = 2x + 5 \\ 3xy - 4y = 2x + 5 \\ 3xy - 2x = 4y + 5 \\ x(3y - 2) = 4y + 5 \\ x = \frac{3y - 2}{4y + 5} \\ {f}^{ - 1} (x) = \frac{3x - 2}{4x + 5} [/tex]
[tex]30.f(x) = \frac{x + 2}{x - 3} \\ y = \frac{x + 2}{x - 3} \\ y(x - 3) = x + 2 \\ xy - 3y = x + 2 \\ xy - x = 3y + 2 \\ x(y - 1) = 3y + 2 \\ x = \frac{3y + 2}{y - 1} \\ {f}^{ - 1} = \frac{3x + 2}{ x - 1} [/tex]
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