Question

Evaluate the function f ( x-2 )

Answer 1

`(2(x + 2))/(x(x+4))`

Explanation:

We can find
`f(x-2)` for the function:

`f(x)=(2x)/(x^2-4)`

by plugging
`(x - 2)` into every instance of
`x`:

`f(x + 2)=(2(x + 2))/((x + 2)^2-4)`

Then, we can simplify this by expanding, then factoring, the denominator:

`f(x + 2)=(2(x + 2))/((x^2+4x+4)-4)`

`=(2(x + 2))/(x^2+4x)`

`\boxed{=(2(x + 2))/(x(x+4))}`