Diketahui f(x)=2x+1 dan g(x)=x²+2 Tentukan: a. g○f(x)

Question

Matematika Diposting : 2017-06-27 Diupdate : 2022-05-25 Ernawati32

Pertanyaan

Diketahui f(x)=2x+1 dan g(x)=x²+2 Tentukan:
a. g○f(x)

Answer 1

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

g(2x + 1)
= (2x + 1)^2 + 2
= (2x + 1)(2x + 1) + 2
= 4x^2 + 2x + 2x + 1 + 2
= 4x^2 + 4x + 3

Answer 2

(gof)(x) = g{f(x)}

= f(x)² + 2
= (2x + 1)² + 2
= 4x² + 4x + 1 + 2
= 4x² + 4x + 3

semoga berguna +_+