Mathematics 10 — Exercise 4.1 · Q9 (iv)

Full question

For the following function, state the domain and range of its inverse without calculating the inverse function.

Step-by-step solution

1. A real square root needs x−2≥0; its output is nonnegative and every nonnegative output occurs.

2. The inverse domain equals the original range.

   $$[0,\infty )$$

3. The inverse range equals the original domain.

   $$[2,\infty )$$

Answer

The final answer is shown below.