We can now find an expression for a composition of functions If we want to find a formula for f g x we can start by writing out

Question

We can now find an expression for a composition of functions If we want to find a formula for f g x we can start by writing out the formula for g x We can then evaluate the function f z at that expression as in the examples above Example 10 Let f x x and g x Show solution I Show solution 2x find f g x and g f x Example 11 A city manager determines that the tax revenue R in millions of dollars collected on a population of p thousand people is given by the formula R p 0 03p P and that the city s population in thousands is predicted to follow the formula p t 60 2t 0 3t2 where t is measured in years after 2010 Find a formula for the tax revenue as a function of the year Exercise 1 4 6 Let f x x 3x and g x find f g x and g f x f g x

Kunduz · Accepted Answer

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