Tentukan rumus fungsi f(×) berikut! A. f(×-2)=3×-8 B. f(2×+3)=5-4× C. f(×+5)=×^2-2×+3 D. f(4-2×)=2×^2+3×-1
Matematika
ratna280211
Pertanyaan
Tentukan rumus fungsi f(×) berikut!
A. f(×-2)=3×-8
B. f(2×+3)=5-4×
C. f(×+5)=×^2-2×+3
D. f(4-2×)=2×^2+3×-1
A. f(×-2)=3×-8
B. f(2×+3)=5-4×
C. f(×+5)=×^2-2×+3
D. f(4-2×)=2×^2+3×-1
1 Jawaban
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1. Jawaban Ennoja
A.
x-2=×
x=×+2
F(x)=3(x+2)-8
=3x+6-8
=3x-2
B.
2x+3=×
x=(×-3)/2
F(x)=5-4[(x-3)/2]
=5-2x+6
=11-2x
C.
x+5=x
x=5-x
F(x)=x^2-2x+3
=(5-x)^2-2(5-x)+3
=25-10x+×^2-10+2x+3
=x^2-8x+18
D.
4-2x=x
x=(x-4)/-2
F(x)=2x^2+3x-1
=2(x-4)^2+3(x-4)-1
=2x^2-16x+32+3x-12-1
=2x^2-13x-19