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Given f(x) = 3x + 2 and g(x) = x - 6, what is (f + g)(x)?

1 Answer

5 votes

Answer:

  • (f + g)(x) = 4x - 4

Explanation:

According to the question, we have


  • \sf f(x) = 3x + 2,

  • \sf f(x) = g(x) = x - 6

To calculate (f + g)(x) we can substitute the value of f(x) and g(x),

Plugging the values,


\sf (f + g)(x)


\sf f(x) + g(x)


\sf (3x + 2) + (x - 6)


\sf 3x + x + 2 - 6


\sf 4x - 4

Therefore, (f + g)(x) = 4x - 4


\dotfill

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