Question

Jika f x= 2^x dan (gof) (x) = 2^2x+ 2^x+1 nilai dari g (3)=​

Answer 1

Diketahui:

f(x) = 2^x

(gof)(x) = 2^2x + 2^x + 1

Ditanyakan:

g(3)

Jawab:

(gof)(x) = g(f(x))

2^2x + 2^x + 1 = g(2^x)

misal a = 2^x

maka x =²loga

g(a) = 2^(2.²loga) + 2^(²loga) + 1

= 2^(²loga²)+2^(²loga)+1

= a²+a+1

g(x) = x²+x+1

g(3) = 3²+3+1

= 9+3+1

= 13

Mapel: Matematika

Kelas: 10

Materi: Komposisi Fungsi