Question

Plis jawab dong yang pinter​

Answer 1

6. g(x) = (3x-1)/(1-3x)

          = -(3x-1)/(3x-1)

g(x) = -1

f(g(x)) = f(-1)

f(g(x)) = -1-1 = -2

                  = -2 . (3x-1)/(3x-1)

                 = -1. (6x-2)/(3x-1)

f(g(x))        = (6x-2)/(1-3x)

7. f(x) = (2x)/(1-x)

f(x) = - (2x)/(x-1) = (-2x)/(x-1) = (-2x+0)/(x-1)

lakukan pembagian horner untuk f(x) :

                   -2           0

x = 1                           -2

                   -2           [-2] => sisa pembagian

hasilnya : f(x) = -2 - 2/(x-1)

f(g(x)) = 7x

f(x) = -2 - 2/(x-1)

f(g(x)) = -2 - 2/(g(x)-1)

7x = -2 - 2/(g(x)-1)

7x+2 = -2/(g(x)-1)

(g(x)-1)(7x+2) = -2

g(x) - 1 = -2/(7x+2)

g(x) = -2/(7x+2) + 1

g(x) = -2/(7x+2) + (7x+2)/(7x+2)

g(x) = (-2+7x+2)/(7x+2)

g(x) = (7x)/(7x+2)

8. f(g(x)) = 1/5x

g(x) = 5x-1

f(g(x)) = f(5x-1)

misalkan g(x) di ganti y

y = 5x-1

5x = y+1

x = (y+1)/(5)

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

f((y+1)/(5)) = 1/(5.(y+1)/(5))

f((y+1)/(5)) = 1/(y+1)

f(x) = 1/(x+1)  , x ≠ 1