find (g of f) (x) f(x)= 3x 4 g(x)=7x-9

Mathematics
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composition of functions

Sep 27th, 2015

Thank you for the opportunity to help you with your question!

f(x) = 3x + 4     and g(x) = 7x -9

go f (x) = g [f)x)] = g (3x + 4)

                              = 7 (3x + 4) -9   [ replace x by 3x + 4 in the formula for g(x)]

                             = 21x + 28 -9

                            = 21 x + 19

Note if f(x) = 3x-4 then gof (x) =   = 7 (3x - 4) -9   [ replace x by 3x - 4 in the formula for g(x)]

                             = 21x -28 -9

                            = 21 x - 37


Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 27th, 2015

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