Question

Mohon Bantuannya...jwb sedetail mungkin

Answer 1

Verified answer

Jawab
fungsi

1)
f(x) = (x +4)/(x-6)
g(x) = 2x - 1

gof(x) = g { f(x)} = g { (x +4) / (x - 6) }
gof(x) = 2(x+4) / (x - 6)  -  1
gof(x) = {(2x +8) -(x - 6)} / (x - 6)
gof(x) = (x + 14)/(x - 6)
y =  (x +14)/(x-6)
y(x - 6) = x + 14
xy - 6y = x + 14
xy - x = 6y + 14
x(y-1) = 6y + 14
x = (6y + 14)/(y - 1)
(gof)⁻¹ (x) = (6x + 14)/(x  - 1)

2)
g(x) = 2 - x
fog(x) = 3x² -16x + 12
f(2- x) = 3x² - 16x + 12

2 - x = 1
x = 1
f(1) = 3(1)² -16(1)  + 12
f(1) = 3 -16 + 12
f(1) = - 1