How do you compute for the range of a function? is it just the inverse?

Question

baldymcgee6 · Answer

The domain of the original function will be the range of the inverse.

baldymcgee6 · Answer

I don't think there is ALWAYS a systematic way of computing the range; as opposed to always having a systematic way of computing the domain.

lgbasallote · Answer

and the range of the original function would be the domain of the inverse?

baldymcgee6 · Answer

Right, as well as all point (x,y) in the original become (y,x) in the inverse

lgbasallote · Answer

this is getting confusing....

lgbasallote · Answer

what is the range without looping words?

baldymcgee6 · Answer

What do you mean, "without looping words"?

lgbasallote · Answer

well you're using words that loop (and make it complicated)

lgbasallote · Answer

domain of function is the range of the inverse and the range of the function is the domain of the inverse where (x,y) is (y,x) in inverse

^see how loop-y that is?

lgbasallote · Answer

do you know a simple explanation @nincompoop ?

baldymcgee6 · Answer

Sorry, simply put: the range of a function is all the values of the dependent variable for which the function is defined.

Eg: y = x^2

The range is all the values for which the dependent variable (y) is defined, which is all values greater than zero. You will never get an output of a negative number from this function.

lgbasallote · Answer

so....the range *is* the domain of the inverse function?

baldymcgee6 · Answer

Yes, the range of the original function IS the domain of it's inverse.

lgbasallote · Answer

please say yes or no before going into very confusing details

lgbasallote · Answer

ahh  a yes then

lgbasallote · Answer

it was all i wanted to hear....

baldymcgee6 · Answer

|dw:1350876020195:dw|See how the Domain and range simply switch. As you can see, the inverse of a function is reflected along y=x