when is g(g(x)) if g(x)=3x+4 then simplify answer and give the domain in interval notation
To find g(g(x)), we first need to find g(x) and then substitute it back into itself.
We know that g(x) = 3x + 4.
Then, substituting this into itself, we get g(g(x)) = 3(3x + 4) + 4.
Simplifying, we get g(g(x)) = 9x + 12 + 4.
Therefore, g(g(x)) = 9x + 16.
The domain of g(x) is all real numbers since there are no restrictions on the input x. Therefore, the domain of g(g(x)) will also be all real numbers.
Therefore, g(g(x)) simplifies to 9x + 16 with domain (-∞, ∞).