8. Consider the functions f : (4, 0) → R where f(x) = sin x and g : (-12,3) → R where g(x) = |x + 5|. (a) Find the rule for the function f o g. (b) Find the domain for the function f o g.

Q: Use the graphs (see attached) of f and g to find (g - f)(-2).

A: To find (g - f)(-2).  (g - f)(x) = g(x) - f(x) value of both functions at x = - 2    g(-2) = 2 f(-2)…

Q: Find all analytic functions f = u + iv with u(x, y) = x² - y². Simplify the expression f(2) as much…

A:

Q: Let f(x) = v9x+ 8 and g(x) = x+9 be functions from R to R. Find the following. a) (f • g)(x) = %3D…

A: We are given f(x)=9x+8 and g(x)=x+9 and we need to find different composition of the function.

Q: Describe the behavior of the function as x approaches zero. f(x)=(|x|/4)sinx a. f--> +infinity as…

A: limx→ 0x4sinx use direct methodlimx→ 0x4sinx=04sin0limx→ 0x4sinx=04x0         (sin0=0)limx→…

Q: Find and sketch the domain for the following function: g(x, y) = x-y

A: The given function gx, y=4-x2-4y2x-y. We have to find its domain and sketch its graph.

Q: let f(x)= x2 . Find the value c in the interval (0,3) so that fave = f(c).

A:

Q: What does is mean for two functions f(x) and g(x) to be orthogonal

A:

Q: x + 4 6. Let f(x) find the following: x - 3 a) f(2) b) f(4) c) domain of f

A: Use the value of x for finding the function.

Q: Is the function f (x) = x³ – 3 odd, even, or neither even nor odd? - Odd Even Neither even nor odd

A: A function f(x) is even if f(-x) = f(x) for all x ∈ R. A function f(x) is odd if f(-x) = -f(x) for…

Q: Sketch the graphs of the function f(x) = sin x .

A:

Q: 2 Let f(x)=Vx and g(x)=- x-4

A: Given that  f(x)=√x and g(x)=2/(x-4) To find the f of g

Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…