Answer
h is $\sqrt x$
g is $\sqrt {1+x}$
f is $\frac{1}{x}$
Work Step by Step
Given T = $\frac {1} {\sqrt {1 + \sqrt x}}$, find functions f, g, and h such that f o g o h is equal to T
T can be split into multiple components; the $\frac {1}{x}$ for the fraction, and the two parts of the denominator which are the $\sqrt {1 + x}$ and the $\sqrt x$
Since h is the inner-most function, it will be $\sqrt x$
g is the next function, so it will be $\sqrt {1+x}$
f is the last function, so it will be $\frac{1}{x}$
