if $f(x)=-3x + 4$ and $g(x)=2$, solve for the value of $x$ for which $f(x)=g(x)$ is true.\n$x = square$

Explanation:

Step1: Set the two functions equal

Set $f(x)=g(x)$. Given $f(x)= - 3x + 4$ and $g(x)=2$, we get the equation $-3x + 4=2$.

Step2: Isolate the term with $x$

Subtract 4 from both sides of the equation: $-3x+4 - 4=2 - 4$, which simplifies to $-3x=-2$.

Step3: Solve for $x$

Divide both sides of the equation by - 3: $x=\frac{-2}{-3}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$