College Algebra
Given the two functions fff and ggg, find f−gf-gf−g and identify the domain.
f(x)=36−x2f\left(x\right)=36-x^2f(x)=36−x2, g(x)=x2+11x−7g\left(x\right)=x^2+11x-7g(x)=x2+11x−7
(f−g)(x)=−2x2−11x+43\left(f-g\right)\left(x\right)=-2x^2-11x+43(f−g)(x)=−2x2−11x+43, Domain: (−∞,∞)\left(-\infty,\infty\right)(−∞,∞)
(f−g)(x)=2x2−11x+29\left(f-g\right)\left(x\right)=2x^2-11x+29(f−g)(x)=2x2−11x+29, Domain: (−∞,∞)\left(-\infty,\infty\right)(−∞,∞)
(f−g)(x)=−2x2+11x+43\left(f-g\right)\left(x\right)=-2x^2+11x+43(f−g)(x)=−2x2+11x+43, Domain: (−∞,∞)\left(-\infty,\infty\right)(−∞,∞)
(f−g)(x)=2x2+11x+29\left(f-g\right)\left(x\right)=2x^2+11x+29(f−g)(x)=2x2+11x+29, Domain: (−∞,−3)∪(−3,∞)\left(-\infty,-3\right)\cup\left(-3,\infty\right)(−∞,−3)∪(−3,∞)
