Question

What is thr inverse of f(x) if the function is x=-4,-2,0,2,4 f(x)=-2,-1,0,1,2

Answer 1

For a function, if it has an inverse function, keep in mind that, the "domain of the original, is the range of the inverse, and the range of the original, is the domain of the inverse", what the dickens does that mean?

well, it means the values for "x" and f(x), on the inverse, are the same values, but swapped up, therefore

$\bf \stackrel{original~function}{\begin{array}{ccll} x&f(x)\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ -4&-2\\ -2&-1\\ 0&0\\ 2&1\\ 4&2 \end{array}}\qquad \qquad \qquad \stackrel{inverse~function}{\begin{array}{ccll} x&f(x)\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ -2&-4\\ -1&-2\\ 0&0\\ 1&2\\ 2&4 \end{array}}$