Can anyone help.
What is the rule of the following function?
(9-2x)/(5-x)
To find the rule of the given function, we need to simplify it by performing some algebraic manipulations.
1. Start with the expression: (9-2x)/(5-x)
2. To simplify the expression, we need to expand the numerator. Distribute the -2x to both terms inside the parentheses: 9 - 2x.
3. Now, we have (9 - 2x)/(5 - x) as the expression.
4. To simplify even further, we can divide each term by the common factor (5 - x) to cancel out the common factors: (9 - 2x)/(5 - x) = (9 - 2x)/(5 - x) * 1.
5. Next, we can factor out -1 from the denominator: (9 - 2x)/(-1)(x - 5).
6. Finally, flip the sign in the denominator to simplify further: -(9 - 2x)/(x - 5).
Therefore, the rule of the given function is:
f(x) = -(9 - 2x)/(x - 5)
This is the simplified form of the function.