Let f(x) be a function; then which of the below item/s can hold? (you can choose more than 1 item) Oa. Vr, y: ( y) (f(x) = f(y)) %3D Ob. Vz, y: f(x) = f(y) → # y Oc Vr, y: f(z) # f(y) → # y d. Vz, y: (z y) → (f(x) = f(y)) O e. Vr, y: (f(x) = f(y)) -→ (z = y)

Q: Let f and g be functions defined by, f(x) = v4 – x and g(x) = v3+ x. %3D - Find fog, gof(-5), (f +…

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Q: If f(x, y) = 2x²xy; then, what is fx (2, 3) and fy (2, 3)?

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Q: 3 find the values of B. Given the following functions: f(x) = 3x + 2; g(x) = 3x² + 2; and h(x) %3D…

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Q: Hi sirr, pleaseeee solveeee this question

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Q: Suppose the point (5, a) lies on y = f(x), the point (b, c) lies on y = g(x) and the point (2, -8)…

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Q: the functionf and g are given by f(x)= x – 1 and g(x) = x², then D, =

A: Answer and explanation is given below....

Q: f(x) = Va +9 – 10.

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Q: At which value in the domain does ffx) = 0? 10 8. f(x} 4- 2 4 -3 -2 2h 3 4 X -6 -8 -10 O x=-3 X= 0 X…

A: We can find the required answer from the graph as below.

Q: If the parent function y = T is shifted 4 units to the left and 3 units down, the new function would…

A: If the parent function y=x is shifted 4 units to the left and 3 units down, then we have to form the…

Q: Exercises (1.9) Find the domain and the range for cach of the following functions: (1) y = (2) y =…

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Q: Let f(x, y) = (r – 2)² + (y– 2)². Fill in the blanks. f(2, 2) = Number %3D - f(2, 2) = Number %3D…

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Q: How many saddle points does the function f(x, y) 116 – 18r 66y + 9x + 11y? have? Answer: (Input 0 if…

A: Given problem:- How many saddle points does the function f(x, y) =116 - 18x - 66y + 9x2 + 11y2 have?…

Q: Find f, and f, and evaluate each at the given point. ху f(x, у) %3D X - y (3, -3) f,(x, y) = %3D…

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Q: Evaluate f(-3), f(0), and f(1) for the piecewise defined function. x- 5 if x s -1 if x > -1 f(x) =…

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Q: (1 point) Let f(z) = r² – 6x and g(x) = x-6. Evaluate the following: %3D %3D 1. (fo g)(z)= 2. (go…

A: Consider the functions f(x) = x2 - 6x and g(x) = x - 6 If f(x) and g(x) are the two functions then…

Q: The range of the function f(x, y) = 4 – V4 - x² - y is [2, co) (-00, 2] (-0, 4] [2, 4] [4, c0)

A: Range of a function:The set of all possible values of y after substituting all the possible values…

Q: Find y as a function of x if x²y" – 3xy – 12y = x², y(1) = -7, y(1) = -7. y =

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Q: Find f, and f, and evaluate each at the given point. ху f(x, y) = X- y (2, -2) f,(x, y) = f,(x, y) =…

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Q: 19U - 6)(1 - 15)2 What are the possible dimensions for eigenspaces of A? (dimension is denoted as D)…

A: Given : The characteristic polynomial of a matrix A, is given as C(λ) = λ4(λ-6)(λ-15)2 To find : We…

Q: Compute f(x) for the data below: (0, 1), (1.25,3) and (3.25,7)

A: For the given data,since the difference between the x values are not same,we are going to find the…

Q: f(-1,–5)= f(-5,–1)= f(0, 0)= f(5, –5)= f(t, 2t)= f(uu, и — v)-

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Q: Let a, ßeR ,such that 2(a -1)+ 3(a – 1)+ 6a=0 and 2(1-B)+ 3(1-B)-6B + 12=0 and a + B, also graph of…

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Q: Differentiate the function. 2w2 – 6w + 4 P(w) =

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Q: Let f(x, y) = (- (3x + y))'. Then %3D drðy af

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Q: Find the candidates for the local extremes of the function f(x,y)x5+y5-5x-5y+1

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Q: Give the domain of the function. z = 5x – 4y O {(x, y): x and y are real and 5x – 4y > 0} - O {(x,…

A: The given function is z=5x-4y

Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below

Q: Find: Ex, fxx , fy, fyy, fxy, Fyx x +y F(X, y) = X+y x4-1

A: Given that: f(x, y)=x+yxy-1