Suppose that f'(x) = 2x for all x. a) Find f(1) if f(0) = 0. b) Find f(1) if f(2)=0. c) Find f(1) if f(-3) = 13. a) When f(0) = 0, f(1) = (Simplify your answer.)

The following table gives the number I = I(t), in millions, of adult Americans with Internet access in year t. t = Year 2000 2003 2009 I = Millions of adult Americans 119 181 211 (a) Find I(2009). I(2009) = million adult Americans Explain what I(2009) means. This means that 211 million adult Americans had Internet access in 2009. This means that 511 million adult Americans had Internet access in 2009. ○ This means that 511 American households had Internet access in 2003. This means that 211 adult Americans had Internet access in 2003. (b) Find the average rate of change per year during the period from 2000 to 2003. (Round your answer to one decimal place.) million per year (c) Estimate the value of I(2001). (Round your answer to one decimal place.) I(2001) = million Explain how you got your answer. I(2001) * +1x million

Suppose that f(x) and g(x) are each one-to-one functions. Suppose also that f(2) = 5, f(5) = 6, g(6) = 5, g(5)= 3.5, and that g(2) = 6. Compute 1. f-¹ (g(6)) 2. f(g-¹ (6)) 3. g=¹(f(2)) = | 4. g(f ¹(5)) = =

assume f I g(x) = 1/x+2 if g(x)=x+2, find the function f(x)