Question

If r(x)=7/x squared and t(x) = 5/3x, find (r-t)(x)

Answer 1

(r - t)(x) =
`(21 - 5x)/(3x^(2))`

Explanation:

Given that,
`r(x) = (7)/(x^(2))` and
`t(x) = (5)/(3x)`

Therefore, (r - t)(x) = r(x) - t(x)

{This is a kind of operation on function, in our case it is subtraction operation}

⇒ (r - t)(x) =
`(7)/(x^(2)) - (5)/(3x)`

⇒ (r - t)(x) =
`(7 * 3 - 5x)/(3x^(2) )`

⇒ (r - t)(x) =
`(21 - 5x)/(3x^(2))` (Answer)