Find the 5.1 7. Use the given pair of functions to find and simplify expressions for the composition of following functions and state the domain of each using interval notation functions and the . (go f) (1) . (fog)(I) domain of the composed function f(x) = 3- x2, g(x) = Vx+1 Evaluate 5.1 B. Use the graphs of f (x) and g(x) below to find the following composition of compositions functions graphically 2- 2 y = f(x) a) (g . f ) (1) b) (f . g) (3) c) (go f) (2) d) (f . g) (0) e ) (f . f ) ( 1 ) f) (g . g) (1 ) Write a given 5.1 9. Write the given function as a composition of two or more non-identity function as a functions. composition of functions P(x) = (x2 - r+ 1)' Determine whether 5.2 10. Show that the given function is one-to-one and find its inverse. Check functions are one- your answers algebraically. to-one and find the inverse of the f(x) = 2x - 1 3x + 4 function Solve radical 5.3 11. Solve the equation and check for extraneous solutions. equations 3x + V6 - 9r = 2 5.3 12. For the following radical function Graph radical a) Find the domain functions b) create a sign chart c) pick extra points d) graph the function f(x) = *vx2 -1