Where is the function sinx - x undefined?
nowhere
sinx is defined everywhere
x is defined everywhere
so, sinx - x is also defined everywhere.
The only time you can run into trouble is when dividing functions. Then if you try to divide by zero, things are undefined.
Thank you! (:
To find where the function sin(x) - x is undefined, we need to understand that a function is undefined when it leads to a mathematical error or violation of certain rules. In this case, since the function is a combination of the sine function and the variable x, there are no restrictions or limitations that would cause it to be undefined in the traditional sense.
However, if you are referring to finding the values of x that make sin(x) - x equal to undefined or not a real number, we need to consider the limits of the function. Let's break it down step by step:
1. The sine function, sin(x), is defined for all real numbers. It oscillates between -1 and 1.
2. The function x is also defined for all real numbers. It simply represents the variable x itself.
3. Since both sin(x) and x are defined for all real numbers, their difference sin(x) - x should also be defined for all real numbers.
Therefore, sin(x) - x is not undefined for any specific value of x. It is a well-defined function for all real numbers.