Question

What’s the answer??(SOMEONE PLEASE HELP)

Answer 1

(f - g)(x) = f(x) - g(x)

= (2x + 6) / 3x - (sqrtx - 8) / 3x

= [2x + 6 - sqrtx + 8] / 3x

= (2x - sqrtx + 14 ) / 3x

Its option A

Answer 2

We know that According to Algebra of Real Functions :

If f and g are two real functions which are defined under the same domain then (f - g)(x) = f(x) - g(x)

Given f(x) =
`(2x + 6)/(3x)` and g(x) =
`(√(x) - 8)/(3x)`

⇒ (f - g)(x) = f(x) - g(x)

⇒
`(f - g)(x) = (2x + 6)/(3x) - (√(x) - 8)/(3x) = (2x + 6 - √(x) + 8)/(3x)`

⇒
`(f - g)(x) = (2x - √(x) + 14)/(3x)`

First Option is the answer