Are these two functions equal?

Are these two functions equal?

  • f(x)=2x+7 and g(x)=3+x+4+x determine whether they are equal and explain your answer. 10 POINTS BEST ANSWER THANK YOU SM

  • Answer:

    They are equal. In order to prove that they are equal, we must show that g(x) = f(x). We start with the two equations: f(x) = 2x + 7 and g(x) = 3 + x + 4 + x We then combine like terms in the g(x) equation. g(x) = 3 + x + 4 + x = (x+x) + (3 + 4) = 2x + 7 We can then set it equal to the original to show that they are equal. f(x) = 2x + 7 g(x) = 2x + 7 2x + 7 = 2x + 7 f(x) = g(x) f(x) is equal to g(x).

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Other answers

g(x) = 3+x+4+x = x+x+3+4 = (x+x) + (3+4) = 2x + 7 = f(x) they are.

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