Question

Consider the function. f(x)=\sqrt{2 x} (a) Find the inverse function of f. f^-1(x)=______ (b) Graph f and f^-1 on the same set of coordinate axes. (c) Describe the relationship between

the graphs. The graphs of f and f^-1 are reflections of each other across the line _________ (d) State the domain and range of f and f^-1. (Enter your answers using interval notation.) Domain of f=__________ Range of f =_________ Domain of f^-1 =________ Range of f^-1 = _______

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7

Fig: 8

Fig: 9

Fig: 10

Fig: 11

Fig: 12

Fig: 13

Fig: 14