Question

What are the domain and range of the function f(x)=log(x-4)-3

Answer 1

the domain and range are:


D=(4,∞),x>4


R=(-∞,∞),{y|y∈R)

Answer 2

Explanation:

Alright, lets get started.

log term should not be negative, so x-4 should be always positive.

It means

`(x-4)>0`

`x>4`

Means the domain will be = (4, ∞)

For range, log term will have any value between the infinites.

So range will be = (-∞, + ∞)

Answer

Hope it will help :)