Question 359067
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Hi,
g(x) = 3/(x - 1), f(x) = (x - 1)/(x - 3) 

(fog)(x) tells us to substitute 3/(x-1) for every value of x in the f(x) equation
(fog)(x) = {{{(((3/((x-1)) -1)))/(((3/((x-1)) - 3)))}}}
(fog)(x) = {{{(((3/((x-1)) -1)))/(((3/((x-1)) - 3)))}}}
[3 -1(x-1)] / 3 - 3(x-1)
[3 +(1 -x)]/3 +3(1-x)
[3 +(1 -x)]/3(1 + (1-x))
[3 +(1 -x)]/3(2-x)