1. Diketahui: f(x)=2x^2 +5x+ 2 dan g(x) = 2x^2 -x-1 Tentukan : a) (f+g)(x). E) (f+g)(0) B) (f-g)(x). F) (f-g)(3) C) (f.g) (x). G) (f.g)(-1) D) (f/g)(x). H) (f/g
Matematika
MelisaMarthiA4842
Pertanyaan
1. Diketahui: f(x)=2x^2 +5x+ 2 dan g(x) = 2x^2 -x-1 Tentukan : a) (f+g)(x). E) (f+g)(0) B) (f-g)(x). F) (f-g)(3) C) (f.g) (x). G) (f.g)(-1) D) (f/g)(x). H) (f/g)(2)
1 Jawaban
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1. Jawaban lisa775
a)(f+g)(x)=f(x)+g(x)
=(2x²+5x+2)+(2x²-x-1)
=4x²+4x+1
e)(f+g)(0)=4(0)²+4(0)+1
=1
b)(f-g)(x)=f(x)-g(x)
= (2x²+5x+2)-(2x²-x-1)
=2x²+5x+2-2x²+x+1
=6x+3
f)(f-g)(3)=6(3)+3
=21
c)(f.g)(x)=(2x²+5x+2)(2x²-x-1)
=4x⁴-2x³-2x²+10x³-5x²-5x+4x¹-2x-2
=4x⁴+8x³-3x²-7x-2
g)(f.g)(-1)=4(-1)⁴+8(-1)³-3(-1)²-7(-1)-2
=4-8+3+7-2
=4
d)(f/g)(x)=2x²+5x+2/2x²-x-1
=5x+2/-x-1
h)(f/g)(2)=5(2)+2/-2-1
=12/-3
=-4