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you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.
Given the function g(f(x)) = 2-x, you can find the domain as you would with any other function (i.e. it doesn't matter if it's composite). The output, however, has to be a real number. With this function, the domain is all real numbers. If you graph it, you see that the function is defined across the entire graph, wherever you choose to plot it.
The domain of a function is the set of numbers that can be valid inputs into the function. Expressed another way, it is the set of numbers along the x-axis that have a corresponding solution on the y axis.
x+y=18x^2+y^2=164 x=10 and y=8 or vice versa