Given that f(x) = 1-x x . what is the domain of f-1(x)? a) r b) r, x ≠ 0 c) r, x ≠ 1 d) r, x ≠ -1

The required domain is

Step-by-step explanation:

The given function is

We need the inverse of this function.

We first of all have to let .

This implies that,

Next, we interchange and to obtain,

We make y the subject to get,

The inverse function is

The domain of this function is

The correct answer is D

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.