College Algebra
Given the two functions fff and ggg, find f−gf-gf−g and identify the domain.
f(x)=2x+11f\left(x\right)=\sqrt{2x+11}f(x)=2x+11, g(x)=x−9g\left(x\right)=\sqrt{x-9}g(x)=x−9
(f−g)(x)=2x+11−x−9\left(f-g\right)\left(x\right)=\sqrt{2x+11}-\sqrt{x-9}(f−g)(x)=2x+11−x−9; Domain: [9,∞)[9,\infty)[9,∞)
(f−g)(x)=2x+11−x−9\left(f-g\right)\left(x\right)=\sqrt{2x+11}-\sqrt{x-9}(f−g)(x)=2x+11−x−9; Domain: [−112,∞)[-\frac{11}{2},\infty)[−211,∞)
(f−g)(x)=2x+11+x−9\left(f-g\right)\left(x\right)=\sqrt{2x+11}+\sqrt{x-9}(f−g)(x)=2x+11+x−9; Domain: (9,∞)\left(9,\infty\right)(9,∞)
(f−g)(x)=2x+11+x−9\left(f-g\right)\left(x\right)=\sqrt{2x+11}+\sqrt{x-9}(f−g)(x)=2x+11+x−9; Domain: (−112,∞)\left(-\frac{11}{2},\infty\right)(−211,∞)
