Composite Function Calculation: f(g(x)) = 3/((x-3)^(-1/2) + 7) - 1

To find f(g(x)), we need to substitute g(x) into f(x) and simplify:
\nf(g(x)) = 3/(g(x) + 2) - 1
\nSubstituting g(x) = (x-3)^(-1/2) + 5:
\nf(g(x)) = 3/((x-3)^(-1/2) + 5 + 2) - 1
\nSimplifying the denominator:
\nf(g(x)) = 3/((x-3)^(-1/2) + 7) - 1
\nThe final simplified expression for f(g(x)) is 3/((x-3)^(-1/2) + 7) - 1.