Question

Formulate a function f(x) and determine its inverse f⁻¹(x).

Answer 1

To formulate a function f(x), define a relationship between input and output values. The inverse function f⁻¹(x) is found by swapping input and output variables.

Step-by-step explanation:

Formulating a Function and Its Inverse

To formulate a function f(x), we need to define a relationship between the input values (x) and the corresponding output values (f(x)). For example, we can define f(x) = 2x, where the output value is twice the input value.

To find the inverse function f⁻¹(x), we swap the input and output variables. In this case, f⁻¹(x) = x/2, where the input value is divided by 2 to obtain the original input value of f(x).