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## anonymous 5 years ago 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)

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1. anonymous

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 $-\infty < x < \infty$

2. anonymous

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

3. anonymous

All real numbers (:

4. anonymous

thank you!!!!

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