How do you find the domain and range of #f(x)= ln(3x-2)#?

1 Answer
Aug 7, 2018

Answer:

Domain: # x in (2/3, +oo)#
Range: # f(x) in RR#

Explanation:

#f(x) or y=ln(3 x-2)#

Domain: Includes all values of #x# for which the function is defined.

#f(x) # is undefined when #3 x-2<=0# , So, #f(x)# is defined only

when #3 x-2>0 :. 3 x > 2 or x >2/3# , Therefore,

domain , # x in (2/3, +oo)#

Range: Includes all values #y# for which there is some #x# such

that #y=ln(3x−2)#. Therefore, range is any real value of #y#

i.e, # f(x) in RR#.

graph{ln(3 x-2) [-10, 10, -5, 5]} [Ans]