How do you find the domain and range of #f(x) = ln(4 - 2x)#?

Question

4184 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-09T14:39:24

#x in(-oo,2) # and #f(x) in(-oo,+oo)#

In this question we are going to apply conditions.

If we have a logarithmic function as #lna# we know that #a>0#.

When we apply it to your question-->

#(4-2x)>0#

#(-2x)>(-4)#

#2x<4#

#x<2# which in interval notation is #x in(-oo,2)#
This is our domain.

Now for the range --.>

The range would be all real numbers ,i.e, #f(x) in(-oo,+oo)#