Find the inverse function of f informally. f ( x ) = x2 + 3, x 20 f- 1 ( x) = Verify that f(f-1(x)) = x and f-1(f(x)) = x. f ( f - 1 ( x ) ) = f 2 = + 3 = X f - 1 ( f ( x ) ) = f- 1 = - 3 = X\fConsider the following function. f =x+1 (X) x3 (a) Find the inverse function of f. f-1(x) = (b) Graph both f and f1 on the same set of coordinate axes. y 10 WebAssign Plot (c) Describe the relationship between the graphs of f and f'l. O The graph of f'1 is the reflection of fin the line y = X. O The graph of I\"1 is the reflection of fin the yaxis. O The graph of f'1 is the reflection of fin the Xaxis. O The graph of f'1 is the reflection of fin the line y = -X. O The graph of I"1 is the same as the graph of f. (d) State the domain and range of 1'. (Enter your answers using interval notation.) domain UH range State the domain and range of F1. (Enter your answers using interval notation.) domain UH range Determine whether the function has an inverse function. x+1 9 0 Yes, 9 does have an inverse. 900 = O No, 9 does not have an inverse. If it does, then find the inverse function. (If an answer does not exist, enter DNE.) Determine whether the function has an inverse function. (XX) = (X 7)2 0 Yes, fdoes have an inverse. O No, fdoes not have an inverse. If it does, find the inverse function. (If an answer does not exist, enter DNE.) Determine whether the function has an inverse function. f(x) = V 2x+ 7 O Yes, f does have an inverse. O No, f does not have an inverse. If it does, then find the inverse function. (If an answer does not exist, enter DNE.) f- 1 ( x) = X 20Consider the following function. f(x) = |x+ 8|, x 2 8 Find the inverse function f'l. f-1(x) = State the domain and range of f. (Enter your answers using interval notation.) domain range State the domain and range of F1. (Enter your answers using interval notation.) domain range Consider the following function. f(x) = (x + 2)2, x 2 2 Find the inverse function f'l. f-1(x) = State the domain and range of f. (Enter your answers using interval notation.) domain range State the domain and range of F1. (Enter your answers using interval notation.) domain range