Question

What are the domain and Range of f(x)=log(x+6)-4

Answer 1

The function
`g(x)=\log x` has domain
`(0,\infty)` and range
`(-\infty, \infty )`.

The function
`f(x)=\log(x+6)-4` is obtained from the function
`g(x)` by translating 6 units left and 4 units down.

So, the domain of
`f(x)` is
`(-6,\infty)` and range is
`(-\infty, \infty )`.