Diketahui fungsi g(x)= x + 1dan f(x) = x2+x-1

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komposisi fmgsi (fog)(x) adalah….
A. r? + 3x + 3
B. r2 + 3x +2
c.r? – 3x +3
D. x2 + 3x – 1
Е. x² + 3x+1​

Diketahui fungsi g(x)= x + 1dan f(x) = x2+x-1

Jawaban:

f(x) = x² + x – 1

g(x)= x + 1

(fog)(x) = f(g(x))

= f(x + 1)

= (x + 1)² + (x + 1) – 1

= x² + 2x + 1 + x + 1 – 1

= x² + 3x + 1