f(x) = (6(x - 1)(2-x) if 1 < x < 2 1⁰ otherwise Determine the mean of the time (E(X)) and square time (E(X2)) it takes for a randomly selected student to finish the aptitude tost

Q: f(x)=5-6/x2, x &gt; 0 f-1(x)=

A:

Q: FX)=f(f(x))and G(x)= (F(x) F(4)=13f(13 )=3 f(13)=6f(4)=6 OF(4)- G'(4)=

A:

Q: Find f-1(x) f(x)=(e-x)/x

A: Given, f(x)=(e-x)/x To find f-1(x)

Q: f(x)=1/x+7 f-1(x)=

A: Given function is

Q: d. True or False: dx ((f (9 (x)))) = f' (g' (2)) True False Can't tell, it depends on the rule It's…

A: We have to check

Q: f(x) 3 f(g(0)) = 2 3 9(f(4)) = -1 4 5 g(x) f(f(2)) g(9(5)) = %3D 3-

A: We will find all the values as following.

Q: f (2) = x-x-6 x2 +5x+6 Which graphs shows the function

A:

Q: F(x)=6-2x, 1<x<5

A:

Q: h(x)= 4/5 x5 +3x4 -7x3 -15/2 x2 +20x+1 local max &amp; local min?

A: Given that To find local max and local min

Q: The function f(x) : (4x + 8)e has one critical number. Find it. %3D

A:

Q: Let g(x) = VT + 3.

A: Given,  g(x)=x2+3

Q: 3h(2)+4g(1) h(x) = {-3x forx= 2} g(x) = {x2+2  forx=3}

A: Given,          hx=-3xfor x&lt;24x+1for x≥2          gx=x2+2for x&lt;3x3for x≥3

Q: Find f(x) and g(c) such that h(x)=(f•g)(x) h(x)=(x^2+7)^5

A:

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: values

A: We will find the value of x between 0&lt;x&lt;10.