Question

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SOAL
(fog) (x) = 3x+1 / 2x+1
(g⁻¹oh) (x) = 3x - 2
maka nilai dari (foh⁻)¹ (2) adalah

Answer 1

(fog)o(g⁻¹ oh)(x)= fogog⁻¹oh  ---> gog⁻¹ = I
fogog⁻¹oh = foh 

foh(x)= [{fog} (g⁻¹oh)] = 
foh(x) = [{fog}(3x-2)] = {3(3x-2) + 1} / {2(3x-2) +1}
foh(x)= (9x-5)/(6x-3)
(foh)⁻¹  (9x-5)/(6x-3) = x
(foh)⁻¹(2) = ...
(9x-5)/(6x-3) = 2
9x-5 = 2(6x-3)
9x-5 = 12x - 6
9x-12x = -6 + 5
-3x = -1
x = ¹/₃