A student says that f(x)= xx-2, x 2, cannot have an inverse because its graph has two separate branc

Question

A student says that f(x)= xx-2, x 2, cannot have an inverse because its graph has two separate branches. Decide whether this is correct by using f(a)= f(b).

Accepted Answer

The statement is incorrect; $\mathrm f$ is one–one and has an inverse.

Two branches and an inverse

Two branches and an inverse

Solution:

Solution locked