Matematika

Pertanyaan

Bantu no 3 & 4 pls jawab
Bantu no 3 & 4 pls jawab

1 Jawaban

  • 3]
    f(x)= (2x - 3)/(4x + 1)
    f⁻¹(x)=...?

    y= (2x - 3)/(4x + 1)
    y(4x + 1)= 2x - 3
    4xy + y= 2x - 3
    4xy - 2x= -3 - y
    x(4y - 2)= -3 - y
    x= (-3 - y)/(4y - 2)
    f⁻¹(x)= (-3 - x)/(4x - 2)

    4]
    f(x)= (x + 3)/(6 - x)
    f⁻¹(a)= 3

    y= (x + 3)/(6 - x)
    y(6 - x)= x + 3
    6y - xy= x + 3
    x + xy= 6y - 3
    x(1 + y)= 6y - 3
    x= (6y - 3)/(1 + y)
    f⁻¹(x)= (6x - 3)/(1 + x)

    f⁻¹(a)= 3
    (6.a - 3)/(1 + a)= 3
    6a - 3= 3(1 + a)
    6a - 3= 3 + 3a
    6a - 3a= 3 + 3
    3a= 6
      a= 2