Jika g(x)=x+1 dan (f o g) (x)= x^2+3x +1,f(x) ..... A.x^-2+5x+5 d. X^-2+6x+1 B.x^-2+x-1 E.x^-2+3x-1 C.x^-2+4x+3
Matematika
itsadhel
Pertanyaan
Jika g(x)=x+1 dan (f o g) (x)= x^2+3x +1,f(x)
.....
A.x^-2+5x+5 d. X^-2+6x+1
B.x^-2+x-1 E.x^-2+3x-1
C.x^-2+4x+3
.....
A.x^-2+5x+5 d. X^-2+6x+1
B.x^-2+x-1 E.x^-2+3x-1
C.x^-2+4x+3
1 Jawaban
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1. Jawaban keruasriki
KOMPOSISI FUNGSI
f(g(x)) = x^2 + 3x + 1
f(x + 1) = x^2 + 3x + 1
f(x + 1) = x^2 + 2x + 1 + x
f(x + 1) = (x^2 + 2x + 1) + (x + 1) - 1
f(x + 1) = (x + 1)^2 + (x + 1) - 1
f(x) = x^2 + x - 1