Operations
Inverses
Square Root Functions
Radical Expressions
Solving Radical Equations
100
If f(x) = x + 2 and g(x) = 2x - 4, what is f(x) + g(x) ?
What is 3x - 2
100

If f = (3, 2), (-2, 3), what is f-1(x)?

What is f^-1(x) = (2, 3), (3, -2)

100
What is the cube root of -81?
What is -3
100
Simplify: (1 + √3)(1 - √3)
What is -2
100
Solve √(x-3) + 5 = 15
What is x = 103
200
If f(x) = 2x and g(x) = -x - 4, what is f(x) - g(x) ?
What is 3x + 4
200
Explain how you would find the inverse of a function algebraically.
What is First, you swap x and y and then solve for y.
200

sketch a graph of y = x-1/2

What is http://hotmath.com/hotmath_help/topics/graphing-square-root-functions.html

200
What is √12 plus √48?
What is 6√3
200
Solve √(2x+3) = 3
What is 3
300
If f(x) = x + 1 and g(x) = x + 3, find f(g(x))
What is x + 4
300

Find the inverse: f(x)=16x-12

(x+12)/16

300

State translations of the radical function below from the parent function. y = (x+4)-1/2 -1

left 4, down 1

300

Simplify X1/2 ∙ x2/3

What is X^7/6

300

Solve (4x+9)1/2 =5 

(4(4)+9)^(1/2)=5; (25)^(1/2)=5; 5=5

400
If f(x) = 2x - 4 and g(x) = 3x - 5, what is g(f(5))?
What is 13
400
How do you verify that two functions are inverses?
What is compose the two functions f(g(x)) and g(f(x)) and show that they both equal x.
400

State domain and range of y=(x+3)1/2+2

D: [-3,inf)

R: [2,inf)

400

Simplify (√729)1/3

What is 3

400

Solve (2x + 7)1/3 = 3.

What is x = 10

500
If f(x) = 3x - 1 and g(x) = 4x + 7, if you calculate f(x) / g(x), what can x not be in this operation? (what is the domain?)
What is -7/4
500
Find the Inverse f(x) = (1/2)x + 3
What is 2x - 6
500
True or False: A 5th root can be imaginary. If false, explain why.
What is False. Odd index roots are never imaginary because they always have a root.
500

Simplify [(a8)(b12)]1/4

What is (a^2)(b^3)

500

Simplify ((x+2)^(1/2) +1)^2

What is x + 2 + 2(x+2)1/2 + 1

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