# SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM PLEASE: Find the domain of the composite function f o g. f(x) = 2 / x + 10 , g(x) = 60 / x

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM PLEASE: Find the domain of the composite function f o g. f(x) = 2 / x + 10 , g(x) = 60 / x      Log On

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 161482: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM PLEASE: Find the domain of the composite function f o g. f(x) = 2 / x + 10 , g(x) = 60 / xAnswer by gonzo(654)   (Show Source): You can put this solution on YOUR website!f(x) = 2/x + 10 i'll assume that means (2/x) + 10. hopefully that's right. if not, resubmit the question. g(x) = 60/x. ----- i assume you are looking for f(g(x)). if that's what fog means then we're ok. i'll answer for that. resubmit the question if i got it wrong. ----- g(x) = 60/x (given) f(x) = (2/x) + 10 (given) to solve for f(g(x)) you have to replace x with g(x). this is no different then solving for f(3). you replace x with 3. ----- in this case you replace x with g(x) which means you replace x with (60/x) ----- since f(x) = (2/x) + 10, then 2/(60/x) is the same as (2*x)/60. you get that by multiplying the numerator and denominator by x. 2*x/(60*x/x) = 2*x/60 since the x in the denominator cancels out. equation becomes this becomes ----- the domain of f(x) would be all values of x except 0 since you can't divide by 0. ----- the domain of g(x) would be the same, i.e. all values of x except 0 for the same reason. ----- the domain of f(g(x)), however, would be all values of x since x is now in the numerator rather than the denominator.