Algebra Answers

: Give an example of each of the following:

a. A function whose domain is [2,∞ )

b. An arithmetic sequence

c. A system of equations with no solutions

: For f(x) = 1/x^2 – 3, find:

a. f(3)

b. f(2+h)

: For f(x) = 1/x -5 and g(x) = x^2 + 2, find:

a. (f o g)(x)

b. (g o f)(6)

One of the tables below contains (x,y) values that were generated by a linear function. Determine which table, and then write the equation of the linear function represented by the table.

Table # 1
X 2 5 8 11 14 17 20
Y 1 3 7 13 21 31 43


Table # 2
X 1 2 3 4 5 6 7
Y 10 13 18 21 26 29 34


Table # 3 X 2 4 6 8 10 12 14
Y 1 6 11 16 21 26 31

6: If f(x) = 2x +1 and g(x) = x^2 – 7, find (f/g)(x)

A: x^2 – 7
--------- x ≠ - ½
2x + 1

B: 2x + 1
-------- x ≠ ± √7
x^2 – 7

C: x^2-7
--------
2x + 1

D: 2x + 1
----------
x^2 – 7

7: f(x) = 4x + 1 and g(x) = x^2 -5, find (g/f)(x)

A: 4x +1
-------- x ≠ ± √5
x^2 – 5

B: x^2 -5
--------- x ≠ - ¼
4x + 1

C: x^2 – 5
----------
4x + 1

D: 4x + 1
---------
x^2 – 5

8: For f(x) = 3x +1 and g(x) = x^2 -7, find (f o g)(4)

_______


9: If h(x) = (f o g)(x) and h(x) = √x+5, find g(x) if f(x) = √x+2. The root goes over both the x and the +5 as well the x and +2.

_________

10: If f(x) = 2x, g(x) = 2x -1 and h(x) = √x find (f o g o h)(9)

________________

Arithmetic Functions
1: If f(x) = 8x and g(x) = 2x+1, find (f o g)(x).

A: 10x + 1

B: 16x + 1

C: 16x + 8

D: 16x^2 +8x

2: If h(x) = (f o g)(x) and h(x) = 3(x + 2)^2, find f(x) and g(x).

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

B: f(x) = x + 2 g(x) = 3x^2

C: f(x) = (x + 2)^2 g(x) = 3x^2

D: f(x) = 3x^2 g(x) = x + 2

3: For f(x) = 3x +1 and g(x) = x^2 -6, find (f + g)(x)

A: 3x^2 – 17

B: 3x^2 – 5

C: x^2 +3x -5

D: x^2 +3x + 7

4: For f(x) = 2x + 1 and g(x) = x^2 -7, find (f – g)(x)

A: -x^2 +2x +8

B: 2x^2 – 15

C: x^2 - 2x – 8

D: -x^2 +2x – 6

5: For f(x) =4x + 1 and g(x) = x^2 – 5, find (f o g)(x).

A: 4x^3 +x^2 -5x -5

B: 4x^3 +x^2 -20x -5

C: 4x^2 – 19

D: 4x^3 + x^2 – 4x – 6

A separate survey suggests that introducing water coolers to the offices is expected to increase the number of people drinking water, and in total 57 said that they would drink water if a water cooler was available.

Based on this information, calculate the percentage increase in the likely number of people drinking water when a water cooler is introduced, giving your answer to the nearest whole number.

if x+2, 2x-1 and
are three consecutive terms of an A.P. find the possible
value of x.
-2 or 3
1½ or -1
2½ or -3
3¾ or 6

Two buses left a downtown terminal at the same time, traveling in opposite directions. One has a speed of 10 mph more than the other. Twelve minutes (1/5 hr) later, they were 12 miles apart. What were their speed?

(3x+1)^0

The product of two numbers is 6. One of the numbers is r. Find the other number.

Today the center city baseball team scored 6 runs. The day before yesterday they scored w. How many runs did they score in these two days?