Question

how do you find the domain of this function?

Answer 1

\[7\tan^{-1} (x+1) - \ln (x ^{2} +2x +2)\]

Answer 2

Domain means that "what can x be"

Answer 3

There are two constrains here

Answer 4

First of all the thing to be taken log of must not be negative

Answer 5

That means \(x^2+2x+2\ge0\)

Answer 6

Alright… Am I suppose to solve for x? Sorry I have never dealt with this type of function before

Answer 7

domain of actangent is all real number. So the only thing you need to check is the domain of the lateral log. And that will gives the domain for the sum

I.e
x^2 + 2x + 2 > 0

Answer 8

*natural* log

Answer 9

ohhh alright!