Question

A painting sold for $226 in 1978 and was sold again in 1986 for $469 Assume that the growth in the value V of the collectors item was exponential. a) Find the value k of the exponential growth rate. Assume Vo 226 Round to the nearest thousandth.) b) Find the exponential growth function in terms of t, where t is the number of years since 1978 c) Estimate the value of the painting in 2005. Round to the nearest dollar ) d) What is the doubling time for the value of the painting to the nearest tenth of a year? years Round to the nearest tenth) e) Find the amount of time after which the value of the painting will be $3525 years Round to the nearest tenth ) nter your answer in each of the answer boxes
For the function f, use composition of functions to show thatf is as given. f(x)=8x + 1.f-1(x)=989 To show that f-1 (x)--一, find (f-10 f) (x) and (fo f-1) (x) and check to see that Beginning with (o)x) 19x-9 Now start with (fof )x) (for)(x)= Enter your answer in-the answer box
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