tes, sno W inut E [XY] = E[X] E[Y] E [g1(X) g2(X)] = E [g1 (X)] E [g2 (X)1 and

Q: [g(x)f"(x) – Sx)g'(x) g*(x) + C g(x)

A:

Q: Find the function f (x) for which f (x) = e-5x, f (0) = 1.

A: A function is a relation which maps each value in its domain to exactly one value in its range. For…

Q: Suppose k(x) = f(g(h(x))). Given the table of values below, determine (-1). f(x) g(x) | h(x) | f'(x)…

A: We have to find derivative

Q: If g(x) = (x4 – 2x3 + 3)/x3 then determine g’(x).

A: Given:gx=x4-2x3+3x3Formula:ddxuv=vu' - uv'v2

Q: graph F(X), Determine f'(x) then graph T] f(x) = 1 + x + x

A:

Q: Given f(x) and g(x) in the following graph, y. 5. f(x) g(x) 2 1 1 2 3 4 5* 1 If h(x)=f(x)/g(x), find…

A: Given graph of f(x) and g(x)

Q: 4. Let f(x)= |x| and g(x) = x-3. (a) Determine the formulas for each of the related composite…

A: The composite function is defined as when the output of one function is used as the input of another…

Q: Find functions g and h such that f(x) = g(h(x)). f(x) = e4x + 2 A. g(x) = 4x+2, h(x) = ex OB. g(x)=…

A:

Q: 3. Let h(x) = 2x - 3 and g(x) = 5 - x   a) Find h( g(2) ) b) Find h( h(x) )

A: 3. Let h(x) = 2x - 3 and g(x) = 5 - x (a) Find h( g(2) ) (b) Find h( h(x) )

Q: Given that f(x) = x² + 1x and g(x) = x + 5, calculate (f o g)(x) or f(g(x))

A: We have to find composition function

Q: Select which function f has an inverse g that satisfies g'(1) = Of(x) = 2x³ Of(x) == x³ Of(x) = x³…

A: To find the function  that has an inverse  that satisfies .

Q: Let f(x) and g(x) be defined as follows: f(x) = 2x+ 1, g(x) = /x-3 What is (fog)(x)?

A:

Q: Graph the function f(x) = u₂(x) ln x + u₁(x) (ln(10 − x) - ln x)

A:

Q: fand g are the functions whose graphs are shown, y = f(x) is in black and y=g(x) in red. Define H(x)…

A:

Q: If Mx (t) = X X-t find E(X) E (x²) and var

A: The moment generating function (MGF) is given as follows:

Q: Find f(x) and g(x) so that the function given can be described as y = f(g(x)). y = esin x g(x) = [ ?…

A: The given function is y=esinx. The objective is to find the fx and gx so that the given function can…

Q: Suppose k(2) = f(g(h(x)). Given the table of values below, determine k(-2). f(x) g(x) | h(x) | f'(x)…

A:

Q: - Show that f(x)= E ƒ(x), where E is a constant and f(x)= e²x + e2x

A: