What is the domain and range of y= ln(6-x) +2?

1 Answer
Jun 8, 2017

Domain x in(-oo,6)
Range=yin(-oo,(ln 6) +2)

Explanation:

TO find the domain we take the values of X for which the function is defined.
for this the input of log cannot be negative or zero so

6-x>0
x<6

hence Domain of definition extends from
x in(-oo,6)

Now for range we see the graph graph{ln x [-10, 10, -5, 5]}

so putting x=6 in graph of y=lnx

we get ln6

yin(-oo,ln6 +2
yin(-oo,(ln 6) +2)