How do you find f(g(x)) if #g(x) = 3/(x - 1)# and #f(x) = (x - 1)/(x - 3)#?

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Answer 1 · 2017-02-01T11:20:57

The answer is #=(4-x)/(6-3x)#

This is a composition of functions

#f(x)=(x-1)/(x-3)#

#g(x)=3/(x-1)#

#f(g(x))=f(3/(x-1))#

#=((3/(x-1))-1)/((3/(x-1))-3)#

#=(3-(x-1))/(3-3(x-1))#

#=(3-x+1)/(3-3x+3)#

#=(4-x)/(6-3x)#