Jika f(x)=xx+1 dan g(x)=f(x+1),maka(g o f)(x)=$ ...
A. 3x+32x−1
B. 2x−13x+2
C. 2x+13x+2
D. 3x+32x+1
E. 3x−32x+1
Jawab;
g(x)=f(x+1)=x+1(x+1)+1
g(x)=x+1x+2
(gof)(x)=g(f(x))=xx+1+1xx+1+2
=xx+1+1×(x+1)x+1xx+12×(x+1)x+1
=x+x+1x+1x+2x+2x+1
=2x+1x+13x+2x+1
=2x+13x+2
Sumber Soal; Mandiri Matematika Jilid 1 untuk SMA/MA Kelas X Kelompok Wajib, Halaman 93 No. 81
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