Question

which is a graph of f(x)=5x-2/x+2with any vertical or horizontal asympototes indicated by the dash lines?​

Answer 1

See attachment

Explanation:

The given function is
`f(x)=(5x-2)/(x+2)`.

This rational function has a vertical asymptote at where the denominator is zero.

The denominator
`x+2=0` when
`x=-2`

There is vertical asymptote at
`x=-2`

The horizontal asymptote for this rational function is given by the ratio of the leading coefficient of the numerator to the leading coefficient of the denominator.

`y=(5)/(1)`

The horizontal asymptote is
`y=5`

The graph of this rational function is shown in the attachment