Jika f (x + 2) = x + 3/ x - 1 maka, f^1 (x) adalah...
Matematika
hannyrahma12
Pertanyaan
Jika f (x + 2) = x + 3/ x - 1 maka, f^1 (x) adalah...
1 Jawaban
-
1. Jawaban 4LL
langsung aja y
misal :
x+2 = a
x = a-2
soal menjadi →
f(a) = a-2 + 3 / a-2 - 1
f(a) = a+1 / a-3
f(x) = (x+1) / (x-3)
fof`¹(x) = x
f{f`¹(x)} = x
f`¹(x) + 1 / f`¹(x) - 3 = x
f`¹(x) + 1 = x.f`¹(x) - 3x
x.f`¹(x) - f`{x) = 1 + 3x
f`¹(x) (x-1) = 3x+1
f`¹(x) = (3x+1) / (x-1)
semoga berguna +_+