f(x)= {x+1 x<0}
Since the function is defined in two parts, we can write it using the piecewise notation as follows:
f(x) =
{x + 1, x < 0}
The given function is:
f(x) = x + 1, for x < 0
This means that for any value of x that is less than 0, the function f(x) will be equal to x + 1.
The mathematical expression you provided is a piecewise function, denoted as f(x). It is defined differently for values of x that are less than 0 and for x that are greater than or equal to 0.
For x less than 0, the function is defined as (x + 1). This means that if you input a value of x that is less than 0 into the function, you would replace x with that value and then add 1 to it. For example, if x = -2, then f(-2) would be equal to (-2 + 1) which is -1.
However, you didn't specify the expression for values of x that are greater than or equal to 0. In order to fully define the function, you would need to provide the expression for this case as well.