Sassy Systems

Inverses

100

Find the inverse f(x)=2x-7

f^-1(x)=x+7/2

200

Find the inverse f(x)=x³+8

f^-1(x)= ³sqrt(x-8)

300

Find the inverse f(x)=7x-4

f^-1(x)= x/7+4/7

400

Find the inverse  f(x)=x+7/2

f^-1(x)=2x-7

500

Find the inverse f(x)=3x+2

f^-1(x)=x-2/3

domain and range

100

Find the domain of the function f(x)=4 x^2+4 x -5

Use interval notation to express your answer.

(-00,00)

200

Find the domain of the following function: {(2, 10),(3, 10),(4, 20),(5, 30),(6, 40)}{(2, 10),(3, 10),(4, 20),(5, 30),(6, 40)} .

{2,3,4,5,6}

300

Find the domain  {(−5,4),(0,0),(5,−4),(10,−8),(15,−12)}

{−5,0,5,10,15}

400

Find the domain of the relation S given below:

S={(-6,-20),(-13,-10),(-2,-6),(-8,20),(0,15)}

 -6,-13,-2,-8,0

500

Find the domain of the function f(x)=x2−1f(x)=x2−1.

(−∞,∞)(−∞,∞).

Solving systems

100

Solve the following systems of equations.

a + b = 4

b = a + 2

a =1 b=3

200

Solve the following systems of equations. 

7x – 3y = 31

9x – 5y = 41 

x=4  y=–1

300

Solve the following sets of equations:

2x + 3y = 9 

 x – y = 3

x = 3.6   y = 0.6

400

Solve the following sets of equations:

4a + 5b = 12,

3a – 5b = 9

 a =3  b = 0

500

Solve these systems.

y=3x-2

x-y=4

x=-1  y=-5

Simplifying Radicals

100

sqrt(50)

5 sqrt(12)

200

sqrt(1)

1

300

sqrt(108)

6 sqrt(3)

400

sqrt(1100)

10 sqrt(11)

500

3 sqrt(5) + 63 sqrt(5)

66 sqrt(5)