SOLUTION: find the domain of the composite function f o g
f(x)= square root 2-x; g(x) = {2x-1} { are supposed to be straight lines
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-> SOLUTION: find the domain of the composite function f o g
f(x)= square root 2-x; g(x) = {2x-1} { are supposed to be straight lines
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Question 499452: find the domain of the composite function f o g
f(x)= square root 2-x; g(x) = {2x-1} { are supposed to be straight lines Answer by MRperkins(300) (Show Source):
You can put this solution on YOUR website! a composite function can be thought of as substituting one function into another. In this case, we have f(x) and rather than evaluating it at a specific value (ie. find f(4)) where we simply replace every value of x with 4 and simplify, we are now finding f( g(x) ), so everywhere we had an x, we now put in g(x). Since we are told that g(x)=2x-1, then we will substitute that in for x. So if the original function is
then
f o g(x) is
=
The domain is then possible values of x, so we say that and solve for x
