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]