Question

Tentukan fungsi invers dari y = f(x) = √x+1 per x-1

Answer 1

Y = (√ x + 1) / (x  - 1)
.
y = (√x +1)/ (√x +1) (√x-1)
y = 1/ (√x -1)
y(√x -1) = 1
y √x - y = 1
y√x = y + 1
√x = (y+1)/(y)
(√x)² = (y+1)²/(y²)
x = (y² + 2y + 1)/(y²)
f⁻¹ (x) = (x²+2x+1)/(x²)
....