Answer:
A
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
= [tex]\frac{2x+6}{3x}[/tex] - [tex]\frac{\sqrt{x}-8 }{3x}[/tex]
Since both fractions have a common denominator of 3x, then subtract the numerators leaving the denominator, that is the numerators simplified
2x + 6 - ([tex]\sqrt{x}[/tex] - 8)
= 2x + 6 - [tex]\sqrt{x}[/tex] + 8 = 2x - [tex]\sqrt{x}[/tex] + 14
Hence
f(x) - g(x)
= [tex]\frac{2x-\sqrt{x}+14 }{3x}[/tex] → A
