SOLUTION: I have to find the composition of functions! Can't figure this one out either! g(x)=3/(x-1) f(x)=(x-1)/(x-3) find (fog)(x) Again, thanks!!!!!

Question 214736: I have to find the composition of functions! Can't figure this one out either!
g(x)=3/(x-1) f(x)=(x-1)/(x-3) find (fog)(x)

Again, thanks!!!!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Remember that

is another way of saying .

Start with the given function.

Plug in

Note: this involves replacing 'x' on the left side with and replacing each 'x' on the right side with .

Multiply EVERY term by the inner LCD to clear out the inner fractions.

Simplify

Distribute

Combine like terms.

So

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