when is (f-g)(x) if h(x)= sqrt x-3 and g(x)=3x+4 then simplify answer
To find (f-g)(x), we need to find f(x) and g(x) first:
f(x) = sqrt(x) - 3
g(x) = 3x + 4
Now, (f-g)(x) is:
(f-g)(x) = f(x) - g(x)
(f-g)(x) = (sqrt(x) - 3) - (3x + 4)
(f-g)(x) = sqrt(x) - 3 - 3x - 4
(f-g)(x) = sqrt(x) - 3x - 7
So, (f-g)(x) = sqrt(x) - 3x - 7.