Matematika

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Diketahui f(x) = 2x ^2+ 4x-15 dan g (x) = -x+2 .... (a).(f+g)(x)
(b).(f-g)(x)
(c).(f.g)(x)
(d).(f/g) (x)
Diketahui f(x) = 2x ^2+ 4x-15 dan g (x) = -x+2 .... (a).(f+g)(x) (b).(f-g)(x) (c).(f.g)(x) (d).(f/g) (x)

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  • a.
    (f + g)(x) = f(x) + g(x)

    [tex](2x^{2} + 4x - 15) + (-x + 2) \\ 2x^{2} + 4x - x - 15 + 2 \\ 2x^{2} + 3x - 13[/tex]

    b.
    (f - g)(x) = f(x) - g(x)

    [tex](2x^{2} + 4x - 15) - (-x + 2) \\ 2x^{2} + 4x + x - 15 - 2 \\ 2x^{2} + 5x- 17[/tex]

    c.
    (f o g)(x) = f(g(x)

    [tex]2((-x + 2)^{2}) + 4(-x + 2) - 15 \\ 2((-x + 2)(-x + 2)) -4x + 8 - 15 \\ 2(x^{2} - 4x + 4) - 4x- 7 \\ 2x^{2} - 8x -4x + 8 - 7 \\ 2x^{2} - 12x + 1[/tex]

    d.
    (f/g)(x) = f(x)/g(x)

    [tex]\frac{2x^{2} + 4x - 15}{-x + 2}[/tex]

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