Matematika

Pertanyaan

yg bisa tolong dong:( aku ga ngerti nih
yg bisa tolong dong:( aku ga ngerti nih

1 Jawaban

  • 1) f(x) = (2x + 1) / (x - 3) . ≠ 3

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

    kali silang

    y(x - 3) = 2x + 1
    xy - 3y = 2x + 1
    xy - 2x = 3y + 1
    x (y - 2) = 3y + 1
    x = (3y + 1) / (y - 2)
    f-¹(x) = (3x + 1) / (x - 2) ≠ 2

    f-¹(3) = (3(3) + 1) / (3 - 2)
    f-¹(3) = 10 / 1
    f-¹(3) = 10

    2) f(x) = (4x + 5) / (x + 3)
    y = (4x + 5) / (x + 3)
    y(x + 3) = 4x + 5
    xy + 3y = 4x + 5
    xy - 4x = 5 - 3y
    x (y - 4) = 5 - 3y
    f-¹(x) = (5 - 3x) / (x - 4)
    atau
    f-¹(x) = (-3x + 5) / (x - 4) , ≠4

    3) f(x) = 2x + 3
    dan g(x) = (x - 1) / (x + 5) , ≠ 5
    (f o g) (x) = f (g(x))
    (f o g) (x) = (5x + 13) / (x + 5)
    cara nya

    [tex]2 (\frac{x - 1}{ x + 5}) + 3 \\ \frac{2x - 1}{x + 5} + 3 \\ \frac{2x - 2 + 3x + 15}{x + 5} \\ \frac{5x + 13}{x + 5} [/tex]
    4) dalam satuan derajat
    a) ½π = 90°
    b) ¾π = ¾ × 180° = 270°
    c) 5/4 π = 5/4 × 180° = 225°