Use graph below to calculate the following: (a) f(f(2)) = (b) g(g(2)) = (c) f(g(4)) = (d) g(f(4)) = 1 f(x) g(x) 2 3 X

Suppose we have two functions. One is P(t) , which models the number of photographers entering the park as a function of t , the time in hours since 5 am. The other, F(x) models number of Instagram posts as a function of x , the number of photographers in the park. awe an s! :1 Which composition makes sense: P(F(x)) or F(P(t)) ? And what does this function represent, in the context of the given functions? b) [, oN ti Suppose that P(t) = 19e0.38t models the number of photographers when the time is t hours after 5 am. About what time is it when 120 people are taking pictures in the park? Show your work.

Use the graphs of functions f and g to answer the problem. (f. f)(-2) (f. f)(-2) = X f(x) E y y g(x) -x X

Assume that f is a one-to-one function. (a) If f(7) = 15, find f-1(15). f-1(15) = | (b) If f -1(40) = 20, find f(20). f(20) =

Find the difference of the two functions A(x)=1x-6 and B(x)=x+8x-2 at 6

Sketch the graph of the function f(x) = 3x 4 + 4x 3 .

Let f(x) be the function f(x) = 1. Find the following: - x +1 f(11) = f(– 10) = (G) 2 (-) 8

Which is larger, f(0) or g(0)?

What is the effect on the graph of f(x)= x when g(x)= + 4?

Find the following for the function f(x) = 4x + 4x – 2. (a) f(0) (e) - f(x) (b) f(4) (f) f(x + 3) (c) f( – 4) (g) f(4x) (d) f(– x) (h) f(x + h)