Matematika

Pertanyaan

dik: f(x)= X+3 g(x) 2x+1 tentukan nilai •fog(x) •fog-¹(x). •f-¹(-2) •f-¹(x)

1 Jawaban

  • Materi : Fungsi

    f(x) = x + 3
    g(x) = 2x + 1 

    ∴ f o g(x) = (2x + 1) + 3
    ║ f o g(x) = 2x + 4 ║

    ∵f o g(x) =  2x + 4
    ∵y = 2x + 4 
    ∵2x = y - 4
    ∵x = (y - 4) / 2
    f o g⁻¹ (x) = (x - 4) / 2

    · f(x) = x + 3
    →  y = x + 3
    → x = y - 3
     f⁻¹ (x) = x - 3 


     f⁻¹ (x) = x - 3
    f⁻¹ (-2) = -2 - 3
    f⁻¹ (-2) = -5


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