Compute E[X + 2Ỹ].

Q: 1. g(x) = x–1 Parent: Transformations:

A: We have the given function as gx=x2-1 As we know that the graph of the function hx=gx+k is obtained…

Q: Let f(x) = V9x – 10 . Determine f-(x). f-(x)%3D

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Q: Let f (x) = 3x – 1 and g (x) = (x + 1). Find each of the following values. A. (f o g) (–1) = B. (g o…

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Q: Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute the following. %3D a. f(g(-3)) b.…

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Q: Let g(x)=31-x. Compute: a) g(2.3) b) g(2) c) g(-1)

A: Given that

Q: If E[X] = −3 and Var(X) = 5, then E[(5 + 6X)²] = and Var(3 + 5X) =

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Q: Let X1, X2, X3 and X4 be a random sample from population with pdf X, 0 < x < 1 fx(x) = |0,…

A: Given information: The probability distribution function is fXx=x,    0&lt;x&lt;10,    otherwise.

Q: Consider x13 and e0.9x. Which function dominates asx → *? O e0.9x dominates x13 13 O x13 dominates…

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Q: Let ƒ(x) = 2x2 + 5x and g(x) = 4x + 1. Find g[f(x)]

A: Given: fx=2x2+5x . gx=4x+1 . gfx can be calculated by replacing the x by fx in the function gx as,…

Q: Let f(x) = 2log æ+¹ + x + 1, g(x) = 4x²log (32) + 7x log(x²) + 4x, and h(x) Select all that apply.…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) = /x +5. h(x) = (Vx +5)* f(x)=

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Q: Let f(x)=x³ and g(x)=Jx, and h(x)=–. Find each of the following: 3 g(h(f(x))) g(h(f(x))) =

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Q: The range of the function f (x) = 2+ V9 – x² is [2, 5] O [0,3] О -3, 3] O [-1,2] O [-3,0]

A: Explanation of the answer is as follows

Q: If h(x) = (4x – 7)/5   then h-1(x) =

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Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x) = V3x +4 Suppose that g(x) = 3x+4. h(x) = %3D

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Q: find functions f and g so that f ∘ g = H.

A: It is given that;  H(x)=x2+1 and; (f∘g)(x)=H(x)

Q: Find  f ∘ g ∘ h. f(x) = 1/x ,  g(x) = x3,   h(x) = x + 4

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Q: If E[X] = 5 and Var(X) = 4, then E[(4 + 5X)²] = [] and Var(3+5X) 0

A: Given that :E(X)= 5 and Var( X )=4 .For a random variable X…

Q: se the graph of the function f(x) and the table of the invertible function k(x) to answer each…

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Q: Describe the long run behavior of f(x) = 2(x + 2) (x + 3) (x + 5): As x → 00, f(x) → ? v As x → 0,…

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Q: Let f(x) f-¹(-2) = x + 3 x + 6

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Q: c. Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's…

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Q: If E[X 4 and Var(X) 1, then E(1 + 5X)²] - and Var(2 + 4X)

A: GivenE(X)=4Var(X)=1

Q: Let f(x) = 5x +1 and g(x) = X-1 Simplify the expressions f g g(f(4)), and g(f(x)). ...... g(f(4)) =…

A: The objective of the question is simplify the composition function at given point.

Q: d. Compute E(X) and Var(X).

A: