Find the domain of (fg)(x). (Enter your answer using interval notation.) Find (900' Find the domain of (:)(X), (Enter your answer using interval notation.) 9 1. [-18 Points] DETAILS SPRECALC7 2.7.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find F+ g, f g, fg, and y and their domains. X) = 5 - X. 9(X) = X2 3X Find (f+ g)(x). Find the domain of (F+ g)(x). (Enter your answer using interval notation.) Find (1' g)(x). Find the domain of (f g)(x). (Enter your answer using interval notation.) Find (fg)(x). 2. [-/8 Points] DETAILS SPRECALC7 2.7.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find f+ g, f - g, fg, and f/g and their domains. f ( x) = \\ 36 - x2, g(x) = vx+2 Find (f+ g) (x). Find the domain of (f + g)(x). (Enter your answer using interval notation.) Find (f - g)(x). Find the domain of (f - g)(x). (Enter your answer using interval notation.) Find (fg) (x). Windows Ink WorkspaceFind the domain of (Fg)(x). (Enter your answer using interval notation.) Find (am. Find the domain of (L)(x). (Enter your answer using interval notation.) 3. [-/2 Points] DETAILS SPRECALC7 2.7.029.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use f(x) = 4x - 5 and g(x) = 2 - x2 to evaluate the expression. (a) (fog)(-2) (b) (g of) (-2)4. [-/1 Points] DETAILS SPRECALC7 2.7.033.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the given graphs of f and g to evaluate the expression. (Assume that each point lies on the gridlines.) f(g(2)) = 42 of5. [-18 Points] DETAILS SPRECALC7 2.7.049.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following functions. x) = X2, g(x) = X + 5 Find (f o g)(x). Find the domain of (f o g)(x). (Enter your answer using interval notation) Find (9 o f)(x). Find the domain of (g o f)(x). (Enter your answer using interval notation') Find (1' o 0(x). Find the domain of (fo f)(x). (Enter your answer using interval notation.) Find (9 o g)(x). Find the domain of (g o g)(x). (Enter your answer using interval notation.) 6. [-18 Points] DETAILS SPRECALC7 Z.7.055.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following functions. f(X)=X:7. g(X)=3x7 Find (f o g)(X). Find the domain of (f0 g)(x). (Enter your answer using interval notation.) Find (9 o f)(x). Find the domain of (g o f)(x). (Enter your answer using interval notation.) Find (f o f)(x). Find the domain of (f o f)(x). (Enter your answer using interval notation.) =ind (g o 9000- Find the domain of (g o g)(x). (Enter your answer using interval notation.) 7. [11 Points] DETAILS SPRECALC7 2.7.059. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Findfogoh. f(X)=X6, g(x)=\\/;, h(x)=x6 Need Help? _' IE!!!- 8. [-11 Points] DETAILS SPRECALC7 2.7.063. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Express the function F in the form fog. (Enter your answers as a commaseparated list. Use nonidentity functions for x) and g(x).) F(X) = (X - 2)9 (x), 900) = ( ) 9. [-14 Points] DETAILS SPRECALC7 2.7.077. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A stone is dropped in a lake, creating a circular ripple that travels outward at a speed of 85 cm/s. (a) Find a function 9 that models the radius as a function of time t, in seconds. (c) Find f o g. fog: What does this function represent? 0 This function represents the area of the ripple as a function of the radius. 0 This function represents time as a function of the area of the ripple. O This function represents the area of the ripple as a function of time. O This function represents the radius of the ripple as a function of time. 0 This function represents the radius of the ripple as a function of area