MTH 151-001 September 29, 2023 Assignment, due Monday October 02, 2023 Solve all problems and show your work. 1. Given f(x) = -2x2 +3x -5, find /(eth)-f(x) , h#0 h 2. If f(x) = x2 - 3x - 1 and g(x) =3x-+1. (a) (f+g)(x) (b) (f-g) (x) (c) (fg)(x) , (d) (-) (x) , (e) (f-g) (3) 3. Given f(x) = x2-x +1 and g(x) = 3x-2 Find (a) fig(x)) (b) g(f(x)) (c) flg(3) 4. Verify algebraically that f and g are inverse functions, f(g(x))= g(f(x)) =x f(x) = x3 + 5 and g(x) =Vx - 5 5. If f(x) = 3x-7 find the inverse of f and prove that f((f -1(x)) 3x+1 6. Find the domain of the following functions (a) f(x) = v3x -5 , (b) g(x) = x'-5x+6