Let A = f(r) be the area of a circle with radius r and r = h(t) be the radius of

Question

Let A = f(r) be the area of a circle with radius r and r = h(t) be the radius of the circle at time t. Which of the following statements correctly provides a practical interpretation of the composite function f(h(t))? Select all that apply if more than one is appropriate. The area of the circle which at time t has radius h(t). The length of the radius at time t. The area of the circle at time t. At what time t the radius will be r = h(t). At what time t the area will be A = f(r). The length of the radius of a circle with area A = f(r) at time t. None of the above

Explanation / Answer

As it is given in the direction area of circle is A=f(r) , When we find composition that is f(h(t)) that mkeans we replace radius r with h(t). So we get area as funcation of t.

So choice C is correct because f(h(t)) will provide area at time t.

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