What is the domain and range of #y = log(2x -12)#?

1 Answer
Jun 7, 2018

Answer:

Domain #{x|x>6}# in interval notation #(6, oo)#

Range #{y|y " is " RR}# in interval notation #(-oo, oo)#

Explanation:

#y = log(2x -12)#

input of the log functions must be greater than zero:

#2x-12>0#

#2x>12#

#x>6#

Domain #{x|x>6}# in interval notation #(6, oo)#

As input numbers get closer and closer to 6 the function goes to #-oo# and as input gets larger and larger the function goes to #oo#

Range #{y|y " is " RR}# in interval notation #(-oo, oo)#

graph{log(2x -12) [-10, 10, -5, 5]}