If f ( x ) = √ x − 1 , which expression represents f − 1 ( x ) ?

Answer 1

f(x) = y = √x - 1, y ≥ -1 and x ≥ 0

Switch x and y: x = √y - 1, x ≥ -1 and y ≥ 0

Solve for y: √y = x + 1

y = f^-1(x) = (x + 1)², where x ≥ -1 and y ≥ 0

The graph of y = f^-1(x) is the right half of the parabola obtained by reflecting the graph of y = f(x) through the line y = x.