Given the functions $f(x)=\dfrac{x+5}{3}$ and $g(x)=\dfrac{1}{f^{-1}(x)+1}$, find the value of $g(3)$.
Find inverse of f(x)
y = (x+5)/3 switch x's and y's then solve for y
x = (y+5)/3
y = 3x -5 this is f-1(x)
then g ( x ) = 1 / [(3x-5) +1 ]
and g(3 ) = 1 / [ (3*3 -5) + 1] = 1/5