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7) Given
f(x)=3x−2
and
g(x)=13+23
find the composite
f(g(x))
a) x
b) 2x
c) -3x
d) 5x

8) Given
f(x)=3x−2
find
f−(x)

a) f−(x)=x3+23

b) f−(x)=13+2x3

c) f−(x)=x2+25

d) f−(x)=x3−13
5) Given
f(x)=−x2+6x−11
, find
f(4x−1)

a) −162+32x−18

b) −82+2x−8

c) 22+6x−5

d) 4x2+7x−9

Determine all the roots
f(x)=9x2−18x2+6x

a) x=1,x=5+(√5)3,x=5−(√5)3
x=1,x=5+(5)3,x=5−(5)3

b) x=0,x=1+(√2)2,x=1−(√2)3
x=0,x=1+(2)2,x=1−(2)3

c) x=1,x=2+(√2)2,x=2−(√2)3
x=1,x=2+(2)2,x=2−(2)3

d) x=0,x=3+(√3)3,x=3−(√3)3
x=0,x=3+(3)3,x=3−(3)3
3) Given that
f(x)=2x2−3x+5
, evaluate
f(x+Δx)Δx

a) 2x−1+Δx

b) −2x−3+Δx

c) 2x−2+Δx

d) 4x−3+2Δx

4) Let
f(x)=x2+2
and
g(x)=x2+3
. Find the composite function
f(g(x))

a) x2+4x2+6

b) x4+6x2+11

c) x4−3x2+6

d) x2−3x2+8
1 Find the value of
f(x)=x3+x2−5x+1
, when x=2
a) 6
b) 4
c) 3
d) 1

2) Evaluate the value of
f(x−2)
, if
f(x)=x2+5x+5

a) x2+x+4

b) x2−x−3

c) x2+2x+4

d) x2+x−5
Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost
​$81.0881.08
to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost
​$76.9776.97.
How much does an average movie ticket cost in each of these​ countries?
If value of x-bar is 70 and mu of sampling distribution is 15 with standard deviation is 20 then standard normal variable is?
A survey of 100 students finds report they 48% are excited by the opportunity to take a statistics class. Construct a 95% confidence interval on the true proportion of students who are excited to take a statistics class
If mean of population is 25 then mean of sampling distribution is?
Conduct a survey of population in your locality taking a sample of at least 100 families
(i) Represent the data of age using the intervals of width 10
(ii) Display the data of expenditure on education, health, household, food and clothing
(iv) Find coefficient of variation of the income of thefamilies.
(iv) Also find which income group is more stable in their earning.
A straight line slides along the axes (oblique) of x and y, and the difference of the intercepts is
always proportional to the area it encloses. Show that the line always passes through a fixed point
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