what is the domain for f(x)

f(x)= x/(x+2)

the big "no-no" in math is division by zero.

so the domain would be all values of x except the number which would make the denominator zero.

So tell me what you would state as the domain.

Well, x cannot be -2, can it?

so x can be everything except -2 because -2+2=0

correct.

To find the domain of a function, we need to identify any values of x that would make the function undefined. In this case, the function f(x) = x/(x+2).

The only value that would make the function undefined is when the denominator (x+2) equals zero, because division by zero is undefined. So we need to solve the equation x+2 = 0 to find the value(s) of x that would make this happen.

x + 2 = 0
x = -2

Therefore, the function f(x) is undefined for x = -2. This means that -2 is not in the domain of the function f(x).

The domain of f(x) includes all other real numbers except -2. In interval notation, we can represent the domain as (-∞, -2) U (-2, +∞).