(a) Find E[Y]. (b) Find Var[Y].

Q: Simplify : [√(x + h) - √x) / h

A:

Q: For S = {3, 4}, find g(S) and g-1(g(S)).

A: Given that, S = {3, 4}

Q: For fx) = x+6, find each of the following a. (-1) e. (for xs97) (5) a. f-1)-5 b.r (5)-0

A: Given query is to find the indicated valen do the function.

Q: Let f(x) = and g(x) = - Find and simplify: (f + g)(x) Select one: A. x²+3x-1 x(x-1) B. -x+3x+1…

A:

Q: For the function f(x)=x²-9, evaluate f(x + h). 2 f(x + h) = | 21

A: Given, f(x)=x2-9

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

A: Given that

Q: Let f (p) be the number of cars sold when the price is p dollars per car. Interpret the statements f…

A: Given that,  f (p) is the number of cars sold when the price is p dollars per car. f(10,000) =…

Q: 2. Let f(x) = -x + 7 and g(x)=x²-2. Evaluate each expression. (a) f(g(1)) (b) g(f(6))

A:

Q: Evaluate fS (ax³ + by³ + Va² – x²) dA for D = [-a, a] × [-6, b] D

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: to す x²Y- X

A:

Q: What is the physical meaning of |xd(f)| and <Xd(f)?

A: The physical meaning of |x d(f)| and &lt;X d(f) will be-  |x d(f)| =   It defines (gives) the value…

Q: Let f(x) = 3 In ((0+1) 2x 2-25)-In(2(0+1) x-10): a. Simplify f(x) b. If f(x) = 4, find x.

A: Use the following properties of the logarithmic function to simplify this equation. ln a-ln b =…

Q: a.) What is the domain of the function y =√x-4? b.) If f(x) = x^2 - 3x, find f(-1.8).

A:

Q: Composition and Inverses of Functions Suppose f(x) following. = 2x, g(x) = 3x - 2, and h(x) = x² –…

A:

Q: Find the domain of the function (x) = 1/∣x + 3∣

A: The given function is fx=1x+3. To find the domain of function. Solution: The given function is…

Q: (4) = {KG* x – x), 0, if 1<x< 3 f(x) otherwise

A: Given information: Let X be any continuous random variable. The probability density function of X is…