For example, if you know that the quadratic parent function \(y={{x}^{2}}\) is being transformed 2 units to the right, and 1 unit down, we can create the original t-chart, following by the transformation points on the outside of the original points.
A rational function is basically a division of two polynomial functions. That is, it is a polynomial divided by another polynomial. In formal notation, a rational function would be symbolized like this: Where s(x) and t(x) are polynomial functions, and t(x) can not equal zero.
To find the inverse of a rational function, we have to follow some steps: 1  If we have f(x) = G(x)H(x), replace f(x) by y. 2  Solve the equation for x in terms of y. 3  When we can find the value or expression for x in terms of y replace x by fâ1(y), which is the inverse of the given rational function.