Question

Graph f(x)=2x+1 and g(x)=−x+7 on the same coordinate plane.

What is the solution to the equation f(x)=g(x) ?

Answers

  1. Answer:
    x = 2
    Step-by-step explanation:
    To solve the equation, you need to set both functions equal to each other and simplify to find the value of “x”.
    f(x) = 2x + 1
    g(x) = -x + 7
    f(x) = g(x)                                              <—– Given equation
    2x + 1 = -x + 7                                      <—– Insert functions
    3x + 1 = 7                                             <—– Add “x” to both sides
    3x = 6                                                  <—– Subtract 1 from both sides
    x = 2                                                    <—– Divide both sides by 3

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