Consider the function with

f(x)=(1)/(\\\\sqrt(x^(2)+2x-3))

.\ (a) The implied domain of

f

has the form

domf=(-\\\\infty ,a)\\\\cup (b,\\\\infty )

. Find

a

and

b

.\ (b) What is the range of

f

?\ (c) Show that

f:(b,\\\\infty )->

range

f

is bijective and compute its inverse function.\ (d) Find the inverse function when we instead restrict the domain to

(-\\\\infty ,a)

.\ (e) Briefly explain why

f

is continuous on its domain.

ises 17. 1. Consider the function with f(x)=x2+2x31. (a) The implied domain of f has the form domf=(,a)(b,). Find a and b. (b) What is the range of f ? (c) Show that f:(b,) range f is bijective and compute its inverse function. (d) Find the inverse function when we instead restrict the domain to (,a). (e) Briefly explain why f is continuous on its domain