Question

let f(x) = 3x^2 +8x-16 and g(x)=x+4. perform the function operation and then find the domain of the result. (f . g) (x)



(this is a compostition)

Answer 1

Put g(x) in for every x in f(x).
\[f(g(x))=3(x+4)^{2}+8(x+4)-16\]
f(g(x))=3x^2 + 32x + 64
The domain is \[-\infty < x < \infty\]

Answer 2

so is the domain all real numbers? or is it either x < 0 or x >0

Answer 3

All real numbers (:

Answer 4

thank you!!!!