Let X = {1, (b) xm} and Y = {y₁, Yn} be finite sets. Determine the number of one to one functions from X to Y.

Q: For the function z = x3-2x2y2-2y2 Find Zy

A: Given: z=x3-2x2y2-2y2 For finding zy, we assume x as constant and differentiate given expression…

Q: Determine the end behavior of the following function as x → +∞: 4x4 + 8x – 1 s(x) = -9x4 – 7x2 7x…

A: Topic- Function

Q: If the function f: R→R be defined by f(x)=x² +5x+9,Find f'(8) = and f'(9).

A: The given function is fx=x2+5x+9

Q: For the function h(x,y) = 6x + 7y xy-5 7 əh find and ?x əh dy

A:

Q: State the domain and range of the following function: Vx - 3 y =

A:

Q: The value of shares (V) after (t) days is given by the relation V = 3t + 10yt + 167, After how many…

A: We will put the value of v = 500 OMR and find the value of t

Q: Express x XOR y with only AND, OR and NOT.

A: We can write-                    x OR y = NOT (  NOT x   AND   NOT y )

Q: Show if the following functions are concave or convex. f(x₁, x₂) = -x-x₁x₂ - 2x²; S = R² f(x1, x2,…

A: Given :  fx1,x2=-x12-x1x2-2x22fx1,x2,x3=-x12-x22-2x32+0.5x1x2 To check that functions are concave or…

Q: Find the domain of each function

A: Given: hx=xx To Find: The domain of the given function

Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: Write the function ziv2 as a + ib (for a and b real-valued functions) and evaluate at z = (1 +…

A:

Q: Let f (x) = 35x. Determine all x for which f (x) = 27.

A: Given, fx=35x.   The objective is to determine the value of x for which fx=27.   So, the value of x…

Q: Please determine the domain of the function

A:

Q: If 10x³y* + e*Y = 5 defines y implicitly as a function of x, find y.

A: Using derivatives of implicit function.

Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

A:

Q: Given f = {(-3, 40), (-2, 25), (-1, 14), (0, 7), (1, 4), (2, 5), (3, 7)} and g= {(1,4), (0, 5), (1,…

A:

Q: For  f={(2,4),(3,−2),(−5,−5)}f={(2,4),(3,−2),(−5,−5)} and g={(−3,1),(−2,5),(3,−2) ou were asked…

A: For two functions f and g, (f+g)(x)=f(x)+g(x)

Q: Let f : R → R, where f(n) = 5 . Answer the following questions. 7x²+3*

A:

Q: The function f(x) has been transformed to y = -2f(-x+3)+1, which has resulted in the mapping of (4,…

A: We have to find correct option using given data. Concept required:

Q: f={(-4,-7), (1,-4), (8,1)} and g={(-7,9), (1,8), (3,7)} find g of f

A: Given query is to find the composite function g of f

Q: 2 V1-x*

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Q: Let f(x) ƒ¯¹(-4)= = x+1 x+8

A:

Q: Va + 7 Determine the domain of the following function: f(x): %3D Ox 2 - 7 and z 3 Or + 3 and a # -7…

A: