Diketahui : f(x)= x pangkat 2 g(x)=1/x h(x)=x+1 i(x)= x pangkat 2 -8x+10 Tentukanlah : A.) fogoh (x) B.) Fogoh (0) C.) ( i )-1 (x)
Matematika
Faisalpratama12
Pertanyaan
Diketahui :
f(x)= x pangkat 2
g(x)=1/x
h(x)=x+1
i(x)= x pangkat 2 -8x+10
Tentukanlah :
A.) fogoh (x)
B.) Fogoh (0)
C.) ( i )-1 (x)
f(x)= x pangkat 2
g(x)=1/x
h(x)=x+1
i(x)= x pangkat 2 -8x+10
Tentukanlah :
A.) fogoh (x)
B.) Fogoh (0)
C.) ( i )-1 (x)
1 Jawaban
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1. Jawaban hananda16052002
A.) (f o g o h) (x) = f o g (h (x))
============> = f o g (x + 1)
============> = f (g (x + 1))
============> = f(1 / (x+1))
============> = (1 / x+1)^2
============> = (1 / x+1) (1 / x+1)
============> = 1 / (x^2 + 2x + 1)
B.) (f o g o h) (0) = 1 / ((0)^2 + 2(0) + 1)
============> = 1 / 1 = 1
C.) (i)^-1 (x)
y = i(x)
y = x^2 - 8x + 10
y -10 = x^2 - 8x
y - 10 = x (x - 8)
x = (y - 10) / (x - 8)
(i)^-1 (x) = (x - 10) / (x - 8)