Final answer:
To make a linear, quadratic, or polynomial function invertible, you need to restrict its domain by ensuring that each input value maps to a unique output value.
Step-by-step explanation:
In order to make a linear, quadratic, or polynomial function invertible, you need to restrict its domain. An invertible function is one where each input value has a unique output value. To achieve this, you can restrict the domain by using intervals or specifying certain conditions for the input values.
For example, let's consider a quadratic function f(x) = x^2. By default, this function is not invertible because every positive value of x maps to the same value of f(x) (e.g., f(2) = f(-2) = 4). However, if we restrict the domain to only positive values of x (x > 0), then the function becomes invertible.
In general, to make a function invertible, you should ensure that each input value maps to a unique output value, and you can do this by restricting the domain.