Question

Jika f(4x^2+12x+11) = 2x+3 dan g(x)= 3x+1 maka (g(f^-1))(x) =

Answer 1

Karena:
f(4x² + 12x + 11) = 2x + 3
Didapat:
f ^-1 (2x + 3) = 4x² + 12x + 11
f ^-1 (2x + 3) = (2x + 3)² + 2 ← Manipulasi

Dengan demikian, didapat:
f ^-1 (x) = x² + 2

Maka:
g(f ^-1 (x))
= g(x² + 2)
= 3(x² + 2) + 1
= 3x² + 6 + 1
= 3x² + 7