(a) Find E[X] and Var[X]. (b) Find h(E[X]) and E[h(X)]. Which one is greater? (c) Find E[Y] and Var[Y].

Q: For each pair of functions f(x) and g(x), find the following. P(x) = x²³² +6; g(x) = = (a) f(g(x))…

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Q: If f (x) = 3x + 2 and g (x) = x² – x, find the value. f(-2) =

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Q: Let f(x) = x2 + 2 and g(x) = 2x - 3. Evaluate (fo g)(x). (fo g)(x) =| (Simplify your answer.)

A: (fog)(x)= f(g(x)) f(x) = x^2 + 2  g(x) = 2x - 3

Q: Find and simplify the difference quotient [f(x + h) - f(x)]/h, h ≠ 0 for the given function : f(x) =…

A: Given:

Q: If f(x) is the height, in inches, of a tomato plant that is x days old, what is the meaning of f(45)…

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Q: Use the functions f(x) = 2x² a. (fog)(3) b. (hj)(12) c. (gᵒh)(x) d. (hᵒg)(x) e. (gᵒf)(x) to…

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Q: For each pair of functions f(x) and g(x), find the following. F(x) = x³ +6; g(x) = = (a) f(g(x))…

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Q: Given the following functions, find each of the values: f(x) = x² + 2x + 1 %3D g(x) = x + 1 (f +…

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Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: Let f(æ) = 2x + 3 and g(æ) = 2a2? + 4x. After simplifying, (f o g)(x) =

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Q: For the functions f(x)=x2 and g(x)=x+5​, find each of the following. ​ (a) (g◦f)(−2) ​(b) (f◦g)(2)…

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Q: For f(x) = x- 3 and g(x) = 5x2 - 3, find the following functions. a. (fo g)(x); b. (go f)(x); c. (fo…

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