SOLUTION: Given F(x)= 5x + 7 And G(x) = 5x-1 Find (fg)(x) - Algebra

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Question 326983: given f(x)= 5x + 7 and g(x) = 5x-1 find (fg)(x) Found 2 solutions by Fombitz, jessica43:Answer by Fombitz(32388) About Me (Show Source): You can put this solution on YOUR website! f%28x%29=+5x+%2B+7 f%28g%29=5g%2B7 f%28g%29=5%285x-1%29%2B7 f%28g%29=25x-5%2B7 highlight_green%28f%28g%29=25x%2B2%29 Answer by jessica43(140) About Me (Show Source): You can put this solution on YOUR website! I'm assuming that (fg)(x) means composition of functions, which is usually written as (f o g)(x) or f(g(x)). This is read as "f-compose-g of x", and means "plug x into g, evaluate, and then plug the result into f". So if you plug in x into g(x), you get 5x-1. Now plug that into f(x): f(x) = 5x + 7 f(5x-1) = 5(5x-1) + 7 f(5x-1) = 25x - 5 + 7 f(5x-1) = 25x + 2 So f(g(x)) = 25x + 2

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