Practice problem
Fix f,g:R→Rf,g:\mathbb{R} \to \mathbb{R}f,g:R→R so that f(x)=x−4f(x) = x - 4f(x)=x−4 and g(y)=3y+12g(y) = 3y + 12g(y)=3y+12. What is (f+g)(z)(f+g)(z)(f+g)(z)?
x+3y+8x + 3y + 8x+3y+8
4z+84z + 84z+8
−2z−16-2z - 16−2z−16
x−3y−16x - 3y - 16x−3y−16
The two functions cannot be added.
Type a concept, like “slope” or “photosynthesis”.