The word for the punctuation mark, on the other hand, comes from Îºá¿¶Î»Î¿Î½ (or kÅlon), which means âlimbâ or âclauseâ â and it is used because one of the main functions of the colon is to separate two clauses, where the second clause explains or follows from the first.
The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation.
The inverse function is the reverse of your original function. It undoes whatever your function did. If your function takes x and gives you y, then the inverse function takes that y and gives you back x. How to find the inverse of a function: There are three steps to finding the inverse function, if it exists. The first step is to replace the f(x) with just the variable y. Second, swap the x and y variables everywhere they appear in the equation. Third, solve for y again so that you have just y= on one side of the equation. If this relation is a function, you can then replace the y with the f inverse x notation, or f^-1(x). To know if it is a function, use the Vertical Line Test or consider the form of the equation. Remember that in a function equation, for every x you input into the equation, there can only be one corresponding y value.