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The composite function (goh)(x) is expressed as 9x + 1

Given the following functions:

  • g(x)=3x+4
  • h(x)=3x-1

We are to find the composite function (goh)(x)

(goh)(x) = g(h(x)) = g(3x - 1)

g(3x - 1) = 3(3x-1) + 4

Expand

g(3x - 1) =  9x - 3 + 4

g(3x - 1) = 9x + 1

Hence the composite function (goh)(x) is expressed as 9x + 1

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