College Algebra
Given the two functions fff and ggg, find f+gf+gf+g and identify the domain.
f(x)=11x2−3x−7f\left(x\right)=11x^2-3x-7f(x)=11x2−3x−7, g(x)=3x−4g\left(x\right)=3x-4g(x)=3x−4
(f+g)(x)=11x2+11\left(f+g\right)\left(x\right)=11x^2+11(f+g)(x)=11x2+11, Domain: (−∞,−1)∪(−1,∞)\left(-\infty,-1\right)\cup\left(-1,\infty\right)(−∞,−1)∪(−1,∞)
(f+g)(x)=11x2−6x+11\left(f+g\right)\left(x\right)=11x^2-6x+11(f+g)(x)=11x2−6x+11, Domain: (−∞,1)∪(1,∞)\left(-\infty,1\right)\cup\left(1,\infty\right)(−∞,1)∪(1,∞)
(f+g)(x)=11x2−11\left(f+g\right)\left(x\right)=11x^2-11(f+g)(x)=11x2−11, Domain: (−∞,∞)\left(-\infty,\infty\right)(−∞,∞)
(f+g)(x)=11x2+6x−11\left(f+g\right)\left(x\right)=11x^2+6x-11(f+g)(x)=11x2+6x−11, Domain: (−∞,∞)\left(-\infty,\infty\right)(−∞,∞)