Answer: x=10
Step-by-step explanation:
f(x)=2 is the same things as y=2. Since we know that y=2, you can plug that in to solve for x.
[tex]y=\frac{x+6}{x-2}[/tex] [plug in y=2]
[tex]2=\frac{x+6}{x-2}[/tex] [multiply both sides by x-2]
[tex](x-2)2=x+6[/tex] [distribute]
[tex]2x-4=x+6[/tex] [subtract both sides by x]
[tex]x-4=6[/tex] [add both sides by 4]
[tex]x=10[/tex]
Now after we have plugged in y=2, we know that x=10.
