Show:
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
An inverse and its function are _________________of each other graphically over the line _______________.
What is reflections, y=x
300
State translations of the radical function below from the parent function. y = 3(x+4)^(1/2) -1
What is stretch, left 4, down 1
300
Simplify X^1/2 ∙ x^2/3
What is X^7/6
300
Given (4x+9)^(1/2) =5 Is x=4 a solution?
What is Yes. (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
Sketch a graph of y=(x+3)^(1/2)+2
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 [(a^8)(b^12)]^(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