Jika f(x)=2x-1/3x+4 dan g(x)=5x^2+1, tentukan a.(gof)(x) b. (fog)(x)
Matematika
Indahmelani06
Pertanyaan
Jika f(x)=2x-1/3x+4 dan g(x)=5x^2+1, tentukan a.(gof)(x) b. (fog)(x)
1 Jawaban
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1. Jawaban atuzliza
a. (g o f)(x) = 5x²+1 o 2x-1/3x+4
= 5 ((2x-1/3x+4)²)+1
= 29x²+4x+21/9x²+24x+16
b. (f o g)(x) = 2x-1/3x+4 o 5x²+1
= 2(5x²+1)-1/3(5x²+1)+4
= 10x²+2-1/15x²+3+4
= 10x²+1/15x²+7