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

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
RELATED QUESTIONS
Find: a.) F o G b.) G o F c.) F o F d.) G o G also find the domain of each composite (answered by stanbon)

Find the domain of the composite function f o g f(x)= square root x; g(x)=... (answered by chessace)

Find the domain of the composite function f o g. f(x)= x/x+3 ; g(x)=9/x+1 (answered by josgarithmetic)

Find the domain and range of the composite function f o g, g o f f(x)=1/x... (answered by stanbon)

find (a)f o g (b)g o f .find the domain of each function and each composite funcition. (answered by venugopalramana)

Please help find the domain of the composite function f o g f(x) = √2-x - 3;... (answered by stanbon)

Find the domain of the composite function f∘g. f(x) = Square Root X ; g(x) = 4x + (answered by MathLover1)

Find the domain of the composite function f∘g. f(x) = 3x + 6; g(x) = Square Root... (answered by ikleyn,MathLover1)

Find the domain of the composite function f*g f(x)=4/x-2;g(x)=9/x The domain ____ (answered by josgarithmetic)