let f(x)=x^2+5 and g(x)=x+5/x. find (g f)(-3)

1/4
14/19
19/14
49/9

I will interpret (g f)(-3) as

f(g(-3))

now g(-3) = -3 + 5/-3 = -14/3
then

f(g(-3))
= f(-14/3)
= 196/9 + 5
= 241/9 , none of your choices match

If you meant g(x) = (x+5)/x
repeating the above, I get
49/9

but that is not what you typed, but probably meant.