Find E (X) and E(X²) and using these values evaluate E[(2X + 1)²]

Q: Given f(x)=log,(x) and g(x)=2x-2. Find the value of x such that Aflg(x)))=2.

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Q: Find a formula for f(") (x) if f(x) = e-10: fln)(z) =[]

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Q: Use f(x) = log4(16x) and g(x) = 4* to answer the questions below. (a) Find f(g(x)) and simplify. x+2…

A: Given query is to perform indicated function operations.

Q: Find a formula for f−1(x) and then verify that f−1(f(x))=x and ff−1(x)=x.   ​f(x)=

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Q: Find the domain of v. v (x) = x + ln(7x - 4)

A: Find the domain of v. v (x) = x + ln(7x - 4)

Q: Let f(x) = x=") – (x²)*, x > 0. %3D -

A: We are given f(x)=xxx-xxx, x>0. As per the question,  we need to solve f(x)=xxx-xxx≤0,   x>0.

Q: If f(x) = x2, g() = x+1, and h(x) = / Va – 1, then evaluate (fohog)(x). %3D

A: Plug g(x)=x+1 inside h(x) and simplify

Q: f(x) = x² %3D g (x) = [x/2] Select the correct value for f o g(-3/2). O 1 O 3 O -1

A: By definition, a function is a special case of a relation between the members of two sets. It is a…

Q: b. 8(x) = E ()" k = 1

A: domain: where function is defined

Q: If Mx (t) = X X-t find E(X) E (x²) and var

A: The moment generating function (MGF) is given as follows:

Q: Suppose the E(X) = 2.5 and Var(X) = 1. If the variable Y is related to X by: Y = 2x - 2, find the…

A: We foil the expected value to obtain  E[(2X−2)2]=E[4X2-8X+4]=4E[X2]−8E[X]+4 We know the mean is 2.5…

Q: to get from E[X-E (x)] ² the steps. Show how to E[x²] - [E(~x)]². Show

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Q: What happens to this base function and why? a(x)= x2

A: The function a(x)=x2 is a basic quadratic function. In this function:- x is the input variable.- x2…

Q: Express the function h(x) = 5log(x² + 6) the form fog. If f(x) = 5log(x), find the function g(x)

A: We can find the function g(x) from the given composite function in the below steps.

Q: If E(x)=2x+1/x, then the rational expression E(x)/x+x/E(x) is equivalent to?

A: Given function is Ex=2x+1x Find equivalent expression for rational expression Exx+xEx Addition of…