Question

If f(x)=2, what is x? equation given is f(x)= x+6/x-2

Answer 1

Answer: x=10

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.

`y=(x+6)/(x-2)` [plug in y=2]

`2=(x+6)/(x-2)` [multiply both sides by x-2]

`(x-2)2=x+6` [distribute]

`2x-4=x+6` [subtract both sides by x]

`x-4=6` [add both sides by 4]

`x=10`

Now after we have plugged in y=2, we know that x=10.