Thread: Implied Domain

I have two questions asking about the implied domain? What is the implied domain and do you find it like you would find just a regular domain?

(a) h(x)= ln (3x - 4)

(b) h(x) = (abs(x)) / x

for b I put the implied domain I put all real numbers except 0. is this right?
i got the answer to b
this on is hard for me:

arcsin(3x -2)

Originally Posted by tigergirl

I have two questions asking about the implied domain? What is the implied domain and do you find it like you would find just a regular domain?

(a) h(x)= ln (3x - 4)

(b) h(x) = (abs(x)) / x

for b I put the implied domain I put all real numbers except 0. is this right?
i got the answer to b
this on is hard for me:

arcsin(3x -2)

for a) the implied domain for lnx x>0 so for ln (3x-4) is 3x-4>0

for b) your answer is correct

for arcsin(3x-2)

since the range of sin(x) is [-1,1]

the implied domain is -1<= 3x-2 <= 1