Question

Find f + 9, p-9, fg, and flg and their domains. f(x) = x, g(x) = VX Find (f + g)(x). Find the domain of (f + g)(x). (Enter your answer using interval notation.) Find (f - g)(x). Find the domain of (F-9)(x). (Enter your answer using interval notation.) Find (fg)(x). Find the domain of (fg)(x). (Enter your answer using interval notation.) Find Find the domain of (Enter your answer using interval notation.)

Answer 1

Solution f(x)=x & 9(2): now 0 (f+g)(1) = ? we Know's (ft3)X = f (x) tg ) W 6-8)(0) x) = 2 we know's (f-g) x g(x) fco [x-a - (fo) (1) - ? ? we Know :- (fog)(x) = f(1) g(x) (*) (rol = | lliv). (012 ? we know f16)= x ()) = f(x f (x) 9(1) g ( Domain Domain Houston here, denominator cannot be be zero and root under term cannot be ve so, x > 0 x ²0 Hence, Domain is (o, o)