Matematika

Pertanyaan

jika f(x)=2x+3 dan g(x) =9 - x,nilai dari (f o g)-1(-9)=

2 Jawaban


  • f(x)= 2x  + 3
    g(x) = 9 - x

    (fog)(x) = f{ g(x)}
    = f (9 - x)
    = 2(9 - x) + 3
    = 18 - 2x + 3
    = 21 - 2x

    fog(x) = 21 - 2x
    (fog)⁻¹(21- 2x) =  x
    (fog)⁻¹ (-9 )=
    21 - 2x = -9
    -2x = - 30
    x = 15

    (fog)⁻¹ (-9) = 15
  • f(x) = 2x + 3
    g(x)= 9 - x

    fog(x)= f { g(x)} 
    (fog)(x) = f (9 -x)
    (fog)(x) =  2 (9-x) + 3
    (fog)(x) = 18 - 2x + 3
    (fog)(x) = 21 - 2x

    (fog)⁻¹ (21 - 2x) = x
    21 - 2x = -9
    -2x = - 30
    x = 15

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