tugas algo

a) F o G (x)    = f (x²+1)
        = (x²+1)³ - 4
        = x^6 + 3x^4 + 1 - 4
        = x^6 + 3x^4 - 3

b) G o F (x)    = G (x³-4)
        = (x³-4)² +1
        = x^6 - 16 + 1
        = x^6 - 15

c) F o G o H (x)= F o G (3x)
        = F((3x)²+1)
        = F(9x²+1)
        = (9x²+1)³ -4
        = 729x^8 + 243x^4 + 18x² + 2 -4
        = 729x^8 + 243x^4 + 18x² - 2

d) H o G (x)    = H (x²+1)
        = 3 (x²+1)
        = 3x² + 3
e) F o H (x)    = F (3x)
        = (3x)³-4
        = 27x³-4

f) G o F o H (x)= G o F (3x)
        = G((3x)³-4)
        = G(27x³-4)
        = (27x³-4)² + 1
        = belommm -_-

g) G o Ho F (x) = G o H (x3-4)
        =g (3(3x³-4))
        = ......... ga tau asli

h) f(x+h) - fx     (x+h)³-4 - x³-4
   -----------  =  ---------------
         h            h
            x² +xh +xh +h² - x³ -4
        =  -----------------------
               h
        = x² + 2x +h +hx³ - 4

i) g(x-h) -g(x)     (x-h)² + 1 - x² + 1
   -----------  = ---------------------
    h           h
        =  x²+ 2hx + h² + 1 - x² + 1
          -------------------------
               h
        =  2x + h