Respuesta :

Answer:Given the functions:

(f(x) = -3x + 4)

(g(x) = 2)

We want to find the value of (x) for which (f(x) = g(x)).

Setting the two functions equal to each other:

(f(x) = g(x))

(-3x + 4 = 2)

Subtract 4 from both sides:

(-3x = -2)

Divide both sides by -3:

(x = \frac{2}{3})

Therefore, the value of (x) that satisfies (f(x) = g(x)) is (x = \frac{2}{3})

Step-by-step explanation:

Answer:

[tex]x=\dfrac{2}{3}[/tex]

Step-by-step explanation:

Given that f(x) = -3x + 4 and g(x) = 2, to find the value of x for which f(x) = g(x), we set the expressions for the functions equal to each other and solve for x:

[tex]f(x)=g(x)\\\\\\-3x+4=2\\\\\\-3x+4-4=2-4\\\\\\-3x=-2\\\\\\\dfrac{-3x}{-3}=\dfrac{-2}{-3}\\\\\\x=\dfrac{2}{3}[/tex]

Therefore, the value of x for which f(x) = g(x) is:

[tex]\Large\boxed{\boxed{x=\dfrac{2}{3}}}[/tex]