composition of functions

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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

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