Pertanyaan
Dik: f(x)=2-x
G(x)=x² + 1
H(x)=3x
Dit:
A.fog (x)
B.gof(x)
C.foh(x)
D.goh(x)
E.fof(x)
F.goh(x)
G.hoh(x)
G(x)=x² + 1
H(x)=3x
Dit:
A.fog (x)
B.gof(x)
C.foh(x)
D.goh(x)
E.fof(x)
F.goh(x)
G.hoh(x)
Ditanyakan oleh: USER9349
175 Dilihat
175 Jawaban
Jawaban (175)
a. fog(x) = f (g(x))
= f (x²+1)
= 2 - (x²+1)
=-2x²-1
-------------- x -1
= 2x²+1
b. gof(x)= g (f(x))
= g (2-x)
=(2-x)²+1
=4-4x+x²+1
x²-4x+5
c. foh(x) = f (h(x))
=f (3x)
=2-(3x)
=-6x
d. goh(x) = g(h(x))
= g (3x)
=(3x)²+1
=9x²+1
e. fof(x) =f (f(x))
= f(2-x)
=2-(2-x)
=-4-2x
f. sama dgn d.
g. hoh(x)= h(h(x))
=h(3x)
=3(3x)
=9x.
= f (x²+1)
= 2 - (x²+1)
=-2x²-1
-------------- x -1
= 2x²+1
b. gof(x)= g (f(x))
= g (2-x)
=(2-x)²+1
=4-4x+x²+1
x²-4x+5
c. foh(x) = f (h(x))
=f (3x)
=2-(3x)
=-6x
d. goh(x) = g(h(x))
= g (3x)
=(3x)²+1
=9x²+1
e. fof(x) =f (f(x))
= f(2-x)
=2-(2-x)
=-4-2x
f. sama dgn d.
g. hoh(x)= h(h(x))
=h(3x)
=3(3x)
=9x.
a. fog (x) = f(x² + 1) = 2 - (x² + 1) = 1 - x²
b. gof (x) = g(2 - x) = (2 - x)² + 1 = 4 - 2x + x² + 1 = 5 - 2x + x²
c. foh (x) = f(3x) = 2 - 3x
d. goh (x) = g(3x) = (3x)² + 1 = 9x² + 1
e. fof (x) = f(2 - x) = 2 - (2-x) = x
f. gog (x) = g(x² + 1) = (x² + 1)² + 1 = x^4 + 2x² + 1 + 1 = x^4 + 2x² + 2
g. hoh (x) = h(3x) = 3(3x) =9x
b. gof (x) = g(2 - x) = (2 - x)² + 1 = 4 - 2x + x² + 1 = 5 - 2x + x²
c. foh (x) = f(3x) = 2 - 3x
d. goh (x) = g(3x) = (3x)² + 1 = 9x² + 1
e. fof (x) = f(2 - x) = 2 - (2-x) = x
f. gog (x) = g(x² + 1) = (x² + 1)² + 1 = x^4 + 2x² + 1 + 1 = x^4 + 2x² + 2
g. hoh (x) = h(3x) = 3(3x) =9x