what is the domain of

f(x)={2x^2 -2,if x < or= 1
{x+1,if x>1?

To find the domain of a function, you need to determine all the possible values that x can take.

In this case, the function f(x) is defined by two different equations based on the value of x.

For values of x less than or equal to 1, the function is defined as f(x) = 2x^2 - 2.

For values of x greater than 1, the function is defined as f(x) = x + 1.

To find the domain, you need to identify any restrictions on x based on these equations.

For the first equation, 2x^2 - 2, there are no restrictions on x since any real number can be squared and subtracted by 2.

For the second equation, x + 1, there are also no restrictions on x.

Therefore, the domain of f(x) is all real numbers since there are no constraints or limitations on the possible values of x in either equation.