diketahui f(x)=x+5 dan (f bundaran g)-1(x)=4x-3,maka g(x)=…

f(x) = x+5
(fog)⁻¹ = 4x-3
     y    = 4x-3
   4x   = y+3
     x   = y+3 /  4

(fog)  = x+3 / 4

  f (g(x)) = x+3 / 4
g(x) + 5 = x+3 / 4
      g(x) =x+3/ 4  + 5
             = x+3+20/ 4
             = x+23/ 4

f (x) = x + 5 dan (f o g)-1(x) = 4x - 3, g(x) =...?
cari dulu f-1(x) dari f (x) = x + 5
misal y = x + 5
x = y - 5
f-1(x) = x - 5
dari rumus (f o g)-1(x) = g-1(x) o f-1(x)
g-1(x) o f-1(x) = 4x - 3
g-1(x) { f-1(x) } = 4x - 3
g-1( x - 5) = 4x - 3
g-1(x -5 ) = 4(x - 5) + 17
g-1 (x) = 4x + 17
g(x) = { g-1(x) } -1
misal g-1(x) = y
y = 4x + 17
4x = y - 17
x = (y - 17)/4
maka g(x) = (x - 17)/4