The Composition of Functions

Find the requested function value .

For the pair of functions, find the indicated composition.

For the pair of functions, find the indicated domain.

Find the domain of

Find the domain of

Find f(x) and g(x) such that h(x) = ()(x).

Solve the problems .
10) A stone is thrown into a pond. A circular ripple is spreading over the pond in such a way that the radius is
increasing at the rate of 3.1 feet per second. Find a function, r(t), for the radius in terms of t . Find a function,
A(r), for the area of the ripple in terms of r . Find ()(t).

11) A stone is thrown into a pond. A circular ripple is spreading over the pond in such a way that the radius is
increasing at the rate of 2.5 feet per second. Find a function, r(t), for the radius in terms of t . Find a function,
A(r), for the area of the ripple in terms of r . Find ()(t).

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