How do you solve for the value of x when given the functions f(x) = 3x + 4 and g(x) = 2 such that f(x) = g(x)?

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To solve for the value of x in the equation where f(x) equals g(x), we start with the given functions:

  • f(x) = 3x + 4
  • g(x) = 2

We want to find the value of x for which:

f(x) = g(x)

Substituting the functions into the equation gives us:

3x + 4 = 2

Next, we will solve for x:

  1. Subtract 4 from both sides:

    2. 3x + 4 – 4 = 2 – 4

    Which simplifies to:

    3x = -2

  2. Divide both sides by 3:

    3. x = -2/3

Thus, the value of x for which f(x) equals g(x) is:

x = -2/3

This means that when you input -2/3 into f(x), the output will be equal to 2, which is the output of g(x).

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