kak pliss kak saya mohon minta bantu di kumpul besok ya ampun
Matematika
sam173
Pertanyaan
kak pliss kak saya mohon minta bantu di kumpul besok ya ampun
1 Jawaban
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1. Jawaban BerukBerpose
a)
(gof)(x) = (g (f(x))
= [(3x-1) + 5] / [(3x-1) - 3]
= [3x+4]/[3x-4]
(gof)invers (x) = [3x+4]/[3x-4]
y = [3x+4]/[3x-4]
y [ 3x-4] = 3x+4
3xy - 4y = 3x + 4
3xy - 3x = 4 + 4y
x [3y - 3] = 4+4y
x = [4+4y]/[3y-3]
(gof) inv (x) = [4+4x]/[3x-3]
b)
f (x) = 3x -1
y = 3x - 1
y+1 = 3x
x= [y+1] / 3
f inv (x) = [x+1] / 3
g(x) = x+5 / x-3
y = x + 5 / x-3
y(x-3) = x+5
xy - 3y = x+5
xy - x = 5 + 3y
x ( y - 1) = 5 + 3y
x = [5+3y]/[y-1]
g inv (x) = [5+3x]/[x-1]
(f inv 0 g inv)(5) = [(5+3x)/(x-1) +1] / 3
={[(5+3x)+(x-1)]/(x-1)} / 3
= (4+4x) / (x-1)] / 3
= (4+4x) / 3(x-1)
= (4+4x) / (3x-3)
= (4 + 4.5) / (3.5 -3)
= 24 / 12
= 2