Question

1) Jika fungsi f(x) = 2x/3x+1 dan g(x) = 3x/2x-1 maka (gof)(x) = ...

2) Diketahui g(x) = x3 -3. Maka f^-1(x) =

3) Jika f(x) = 3/4x-2 dan g(x) = x + 2, maka (fog)(x) =

Answer 1

1) f(x) = 2x / 3x+1 , g(x) = 3x / 2x-1

(gof)(x) = g(f(x))

= g(2x / 3x+1)

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

=...... (hitung ya kak)

2) g(x) = x³ - 3 , g^-1(x) ... ?

g(x) = x³-3

y = x³-3

y+3 = x³

³√y+3 = x

•• g^-1(x) = ³√x+3

3) f(x) = 3 / 4x-2 , g(x) = (x+2)

(fog)(x) = f(g(x))

= f(x+2)

= 3 / 4(x+2)-2

= .... (hitung ya kak)

insyaallah. semoga membantu