Question

Use the following table of values for the one-to-one function g(x) to find g−1(2).x-12-9-61211g(x)-5-3-1268I'm usually confused with these table problems and I keep getting them wrong

Answer 1

Function and its Inverse

The table shows the relationship between the input variable x and the output function g(x).

It can be understood as if x is the independent variable and g(x) depends on the value of x.

For example, for x = 1, g(1) = 2

To compute the inverse of g(x), we go from the function to the input variable x:

Function: from x => g(x)

Inverse: from g(x) => x

It's required to find g^-1(2). The input value must be found in the row of g(x) and then find the corresponding value of x.

Since g(1) = 2, then g^-1(2) = 1