(1 point) Suppose that f(x) = V22 - 42 and g(x) = V4-x. For each function...
Consider the following functions: • f(x) = X-6 X-6 9 . g(x) = x2 + 11x + 24 • h(x) = V3 – 6x Use interval notation to describe the domain of each function: Type "inf" and "-inf" for oo and --oo, respectively. Type the capital letter "U" to represent the symbol U. Type the capital letter "R" to represent the symbol R. a. The domain of f(x) is I b. The domain of g(x) is c. The domain of...
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...
1) Find the following for the functions f(x) = x+2 and g(x) = Vx – 5 if defined. If the composition is not defined write “The value is not in the domain”. a) (fºg)(14) b) (gºf)(2)= c) (gºg)(30) =
Given f(x) = 3x + 4, g(x) = x a) Find (fºg)(x) b) Write the domain of (f • g) in interval notation.
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...
Only g and h needs answers (1 point) Book Problem 3 Consider the function f(x) = x + 2 cos(x), 0<x<21. For the following questions, write inf for , -inf for - , U for the union symbol, and NA (ie. not applicable) if no such answer exists. a.) f'(x) = 1-2sinx b.) f(x) is increasing on the interval(s) (0,pi/6)U(5pi/6,2pi) c.) f(x) is decreasing on the interval(s) (pi/6,5pi/6) d.) f(x) has a local minimum at 5pi/6 e.) f(x) has a...
Express the given function h as a composition of two functions f and g so that h(x)=(f o g)(x) h(x) = 1/2x-2 Choose the correct pair of functions. Find the donain of the function. What is the domain of g? (Type your answer in interval notation.)
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)...
ades Achievements Course Help Hw17-3.3-Derivatives-and-graphs: Prob Problem Value: 1 point(s). Problem Score: 42%. Attempts Remaining: 5 attempts. Help Entering Answers (1 point) 24 Let f(x) = 8x + (a) The domain of f is (-inf,0)U(0,inf) M (b) List the critical number(s) of f: sqrt(3),sqrt(3) м (c) f'(x) > 0 for 3 € (-inf,sqrt(3))U(-sqrt(3),inf) M (d) f'(x) < 0 for 2 € M (e) Local maxima of f occur at x = NONE M M (1) Local minima of f occur...
-2 The equation for this function is f(x)- The domain of this function in interval notation is The range of this function in interval notation is 24 The equation for this function is f(x) The domain of this function in interval notation is The range of this function in interval notation is □ ty 4 2 4 6 8 The equation for this function is f(x) = The domain of this function is The range of this function is 8...