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]