Express the function h(x) = Your answer is f(x)= x 1 in the form fog. If g(x) = (x-9), find the function f(x). 9 Let f(x) = 72 - x and g(x) = x x. Then the domain of fog is equal to Use the graphs to evaluate the expressions below. 6 6 g(x) 5- 5 4- 4 MM. 3 2 1 4 5 6-1 1 3 1 f(x) 1 f(g(0)): g(f(2)) = f(f(4)) g(g(1)) = = 2 3 X 3 4 5 6 Let f(x) = 4x + 5 and g(x) = 3x + 2x. After simplifying, (fog)(x) = Let f(x) = and g(x) = g(f(x)) = x-7 Find the following functions. Simplify your answers. f(g(x)) = +7. x =z6 and g(x) = Find the following functions. Simplify your answers. f(g(x)) = g(f(x)) = Let f(x) = x If f(x) = x + 5, g(x) = x - 9 and h(x) = , then f(g(h(x))) = Given functions m(x): interval notation. m(x) p(x) Domain of m(p(x)) : Domain of = : Domain of p(m(x)) : 2 and p(x)=x-4, state the domains of the following functions using The number of bacteria in a refrigerated food product is given by N(T) = 247 100T +13, 5 < T < 35, where I is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T(t) = 6t + 1.8, where t is the time in hours. Find the composite function N(T(t)): N(T(t)) = | Find the time when the bacteria count reaches 24540. Time Needed = hours The function h(x) = (x+4)5 can be expressed in the form f(g(x)), where f(x) = x, and g(x) is defined below: g(x) = The function h(x) defined as: f(x) = = can be expressed in the form f(g(x)), where g(x) = (x + 5), and f(x) is x + 5 Given the following functions, find each of the values: f(x)=x-x-20 g(x) = x - 5 (f+g)(-4)= (f - g)(-1) (f.g)(1) (4) (-3): =