Consider the function. 123 (2) Find the Inverse function of f. Vx-+9 (b) Graph fand fo on the same set of coordinate axes. 7- 5- 3 6 5 5 6 (c) Describe the relationship between the graphs. The graphs of / and food are reflections of each other across the line (d) State the domain and range of f and fel. (Enter your answers using Interval notation.) Domain of f [3,03) Range of r Domain of /- 1 Range of r-1Find the particular solution of the differential equation that satisfies the initial equations. F" ( X) = 2 2 f'(1) = 4, f(1) = 3, x >> 0 f( x ) =Evaluate the definite integral. Use a graphing utility to verify your result. (Round your answer to three decimal places.) 3 9 dx Bx + 1 0 XFunctions Point (( x) = Vx -1 (5, 2) f(x) = x +1, x20 (2, 5) (a) Find the domains of fand f-1. (Enter your answer using interval notation.) Domain of f [ 1,00) Domain of f-1 [0,90 ) (b) Find the ranges of fand fo. (Enter your answer using interval notation.) Range of f [0,00 ) Range of f-1 (c) Graph fand f-1. 12- 12- 10- 10- f 6- F 2 O 2 6 8 10 12 O 2 6 8 10 12 12 12 10- 10- B- B 6 6- 4- 2 2 8 10 12 X O 6 8 10 12 (d) Show that the slopes of the graphs of fand fod are reciprocals at the given points. f'(5) = (F-1)'(2) =Find the area of the given region. Use a graphing utility to verify your result. y = _ 1 + In(x3 ) X 1 1 4 5 X -1