note: buat penjelasan!
Jawab:
fungsi komposisi dan invers'
f(x) = 2x + 4
g(x) = (2x + 5)/(x -4)
h(x) = {gof⁻¹}(x)
maka h⁻¹(x) = {gof⁻¹}⁻¹ (x)
h⁻¹(x) = {fog⁻¹) (x)
g(x) = (2x + 5)/(x - 4)
g⁻¹(x)= (4x + 5)/ (x - 2)
fog⁻¹(x) = 2 .g⁻¹(x) + 4
[tex]\sf fog^{-1}(x) = 2\left(\dfrac{4x+5}{x-2}\right) + 4[/tex]
[tex]\sf fog^{-1}(x) = \dfrac{8x+10 + 4(x- 2)}{x-2}\right)[/tex]
[tex]\sf fog^{-1}(x) = \dfrac{8x+10 + 4x-8}{x-2}\right)[/tex]
[tex]\sf fog^{-1}(x) = \dfrac{12x+2}{x-2}\right),~ x\neq 2[/tex]
pilihan C
