Consider the following functions: • f(x) = X-6 X-6 9 . g(x) = x2 + 11x...
Let f(x) = 5x2 - 4x and g(x)= x2 - x+7. Find (f+g)(x), (f – 9)(x), (fg)(x), and a (x). Give the domain of each. (f+g)(x)= (Simplify your answer.) (f-g)(x)= (Simplify your answer.) (fg)(x)= (Simplify your answer.) H)(x) = (Simplify your answer.) The domain of (f+g)(x) is (Type your answer in interval notation.) The domain of (f -9)(x) is (Type your answer in interval notation.) The domain of (fg)(x) is (Type your answer in interval notation.) The domain of “x)...
25 (4 comple The functions f and g are defined as f(x) = 8x - 5 and g(x) = - 6x?. a) Find the domain of f, g, f+g, f-g, fg, ff, and g' b) Find (f+g)(x), (f-g)(x), (fg)(x), (ff)(x), 0 (x), and (0)612 a) The domain offis I. (Type your answer in interval notation.) The domain of g is (Type your answer in interval notation.) The domain off+ 9 (Type your answer in interval notation.) The domain off-gis (Type...
Consider the following functions. Ax) = xł go gcx) = x bet Find (f + g)(x). 7 + x x + 8 Find the domain of (f + g)(x). (Enter your answer using interval notation.) (-00, – 8) U(-8,00) Find (f - g)(x). 7-x x + 8 Find the domain of (f - g)(x). (Enter your answer using interval notation.) (-00, -8) U(-8,00) Find (fg)(x). 7x x+8 Find the domain of (fg)(x). (Enter your answer using interval notation.) (-00, -8)...
Solve for : --x + 4x – 3 50 Type "int" and "-inf' for oo and -20, respectively. • Type the capital letter "U" to represent the union symbol U. The steps below are provided to assist you with the process of finding the correct solution, or you may skip to the bottom and enter your final answer for full credit Identify roots a. -*?+ 4x - 3 has root(s) at x = b. Use interval notation to represent the...
#65 Give the domain of each. For the pair of functions defined, find f+g, f-g, fg, and f(x) = x2 - 4. g(x) = 5x + 15 (f+g)(x)= (Simplify your answer.) The domain of (f+g)(x) is (Type your answer in interval notation.) (f-9)(x) = (Simplify your answer.) The domain of (f - g)(x)is (Type your answer in interval notation.) (fg)(x) = (Simplify your answer.) The domain of (fg)(x) is (Type your answer in interval notation.) (Simplify your answer.) The domain...
Consider the following functions. f(x) = x2 + x, g(x) = x2 - 5 a) Find (f + g)(x), (f - g)(x), (f)(x), and (f/g)(x).(b) Find the domain of f + g. Find the domain of f- g. Find the domain of fg.
please answer to the question in the figure. Find each of the following functions. rx) = V5-x, g(x) = VX2-4 (a) fg State the domain of the function. (Enter your answer using interval notation.) (b) f-9 State the domain of the function. (Enter your answer using interval notation.) (c) fg State the domain of the function. (Enter your answer using interval notation.) (d) fig State the domain of the function. (Enter your answer using interval notation.) x+2 (a) fog (fo...
Consider the function f(x) = 2x + 6x2 - 144x + 6. For the following questions, write inf for 0, -inf for --O, U for the union symbol, and NA (ie. not applicable) if no such answer exists. a.) f'(x) = 6x^2+12X-144 b.) f(x) is increasing on the interval(s) c.) f(x) is decreasing on the interval(s) d.)f(x) has a local minimum at NA e.)f(x) has a local maximum at NA f.)f"(x) = 12x+12 g.)f(x) is concave up on the interval(s)...
Find f+g, f-g, fg, and f/g and their domains. f(x) = 4 – x, g(x) = x2 – 3x 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 - g)(x). (Enter your answer using interval notation.) Find (fg)(x). Find the domain of (fg)(x). (Enter your answer using interval notation.) Find (6)«). Find the domain of (x). (Enter your answer using interval notation.) Consider...
. For f(x)=x2 +3 and g(x) = x2-x, find a. (fogxx); b. the domain of fog a. (fog)(x) = 0 (Simplify your answer.) b. What is the domain of fog? The domain is (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) Enter your answer in the edit fields and then click Check Answer. All parts showing Clear All Check Answer 30 Ps @ w MacBook Air 80 4 11...