Respuesta :
Answer:
x=4
Step-by-step explanation:
From the statement we know that g(x)=3(x-2) and g(x)=6. Then we know that:
6=3(x-2)
Solving for "x":
6=3x-6
12=3x
x=12/3
x=4
Then, the solution is x=4.
For this case we have a function of the form [tex]y = g (x)[/tex]
Where:
[tex]g (x) = 3 (x-2)[/tex]
We want to find the value of "x" if the function is 6, that is, if y = 6
So, we have:
[tex]3 (x-2) = 6\\3x-6 = 6[/tex]
We clear "x":
[tex]3x = 6 + 6\\3x = 12\\x = \frac {12} {3}\\x = 4[/tex]
So, if the function has a value of 6, then [tex]x = 4[/tex]
ANswer:
[tex]x = 4[/tex]