tentukan f invers f(x) = x^2-8x+9
Matematika
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Pertanyaan
tentukan f invers f(x) = x^2-8x+9
1 Jawaban
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1. Jawaban anriany
f(x)= x^2-8x+9
y=x^2-8x+9
x^2-8x+9-y=0
cari x1 dan x2 menggunakan rumus abc:
a=1, b= -8, dan c= 9-y
X1.2= -b plus minus akar b2 - 4ac per 2a
x1.2= 8 plus minus akar 16-36+4y per 2
x1.2= 8 plus minus akar -20 +4y per 2
x1.2= 8 plus minus akar (-5+y)4 per 2
x1.2= 8 plus minus 2 akar (-5+y) per 2
x1.2= 4 plus minus akar (-5+y)
f invers (x)= 4 plus minus akar (-5+x)