1
MATHEMATICS
Monday October 19 2015
Fourth Exercise Class
1) Study domain sign and intersection with axes of the following functions
x−1
y = log x+1
y = log 1 xx−2
2 +1
2
2
y = x1 log 9−x
2
4−x
log x−3
y = x 2log
x−2
2
−5x+6
y = log xx2 −7x+12
y = log 2 − 2x+1
x−3 √
y = log( 4x2 − 4x − 15 − 2x − 1)
y=
x2
ln |x|−1
r y = log x−1
x
y = log
|x+2|
|x|−1
x
y = xe x2 −1
y = e−x − e−3x
y=
ex −1
ex +1
y=
2ex
ex −e−x
y=
√
4
e2x − ex
√1
x+2
y = e 1−
y = log(1 − 3ex + 2e2x )
y=e
log2
y = log
y=
ex
x
x
x−1
e2x
ex −1
−1
+log(3x−3)+2