Question

F(x) = x-1/5, g^-1(x) = 3-x/2, (fog)^-1(6)=.....

Tolongin untuk besok..
Ttg fungsi komposisi dan invers

Answer 1

Bab Komposisi Fungsi & Fungsi Invers
Matematika SMA Kelas X

g⁻¹(x) = 3 - ˣ/₂

f(x) = x - ¹/₅
y = x - ¹/₅
x = y + ¹/₅
f⁻¹(x) = x + ¹/₅

Ditanya (fog)⁻¹(6)

Perhatikan,

(fog)⁻¹(x) = (g⁻¹ o f⁻¹)(x)

               = g⁻¹(f⁻¹(x))

               = 3 - [x + ¹/₅]/2

(fog)⁻¹(6) = 3 - [6 + ¹/₅]/2

               = 3 - 3 - ¹/₁₀

               = - ¹/₁₀


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