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Answer to Question #235351 in Calculus for CCW
Question #235351
Unit 1 Review -
(2.) Find f(g(x)) and g(f(x)) given f(x)= 3x+7 and g(x)= 1/3x - 5
(show step by step)
Expert's answer
"f(g(x))=f(\\frac{1}{3x-5})\\\\\n=3(\\frac{1}{3x-5})+7\\\\\n=\\frac{3+21x-35}{3x-5})\\\\\n=\\frac{21x-32}{3x-5})\\\\\ng(f(x))=g(3x+7)\\\\\n=\\frac{1}{3(3x+7)-5}\\\\\n=\\frac{1}{9x+16}"
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