Consider\

f:(k,\\\\infty )->R\ f(x)=(2)/((3x-1)^(2))+1

\ i. Find the smallest positive value of

k

such that

f

has and inverse function

f^(-1)

and hence find the domain and range of

f

.\ ii. Find the inverse function

f^(-1)

of

f

\ iii. Sketch the graphs of both

f

and

f^(-1)

on the same set of access. Clearly, show the calculation required to find the axial intercepts and asymptotes.

2. Consider f:(k,)Rf(x)=(3x1)22+1 i. Find the smallest positive value of k such that f has and inverse function f1 and hence find the domain and range of f. ii. Find the inverse function f1 of f iii. Sketch the graphs of both f and f1 on the same set of access. Clearly, show the calculation required to find the axial intercepts and asymptotes. 2. Consider f:(k,)Rf(x)=(3x1)22+1 i. Find the smallest positive value of k such that f has and inverse function f1 and hence find the domain and range of f. ii. Find the inverse function f1 of f iii. Sketch the graphs of both f and f1 on the same set of access. Clearly, show the calculation required to find the axial intercepts and asymptotes