a) (f.g)(x)
b) ((f.g).h)(x)
c) (g.h)(x)
d) (f.(g.h)) (x)
Dik f(x) = x+2,g(x) = x²-1 dan h(x) =4x tentukan
Jawaban Terkonfirmasi
Dik f(x) = x+2,g(x) = x²-1 dan h(x) =4x
Maka :
a) (fog)(x) = f(g(x))
= f(x² – 1)
= (x² – 1) + 2
= x² + 1
b) ((fog)oh)(x) = fog(h(x))
= fog(4x)
= (4x)² + 1
= 16x² + 1
c) (goh)(x) = g(h(x))
= g(4x)
= (4x)² – 1
= 16x² – 1
d) (fo(goh)) (x) = f(goh(x))
= f(16x² – 1)
= (16x² – 1) + 2
= 16x² + 1