Operations/Compositions
Inverses
Radical Functions
Radical Expressions
Solving Radical Equations
100
If f(x) = x + 2 and g(x) = 2x - 4, what is f(g(2))?
2
100
If f(x) has the points (3, 2), (-2, 3), what are two points in f-1(x)?
f-1(x) = (2, 3), (3, -2)
100
What is the domain of this function?
(2,∞)
100
Simplify: (1 + √3)(1 - √3)
What is -2
100
Solve √(x-3) + 5 = 15
What is x = 103
200
If f(x) = 2x2 and g(x) = -x - 4, what is f(g(-3))?
2
200
Explain how you would find the inverse of a function algebraically.
First, you swap x and y and then solve for y.
200
What is the range of this function?
(3,∞)
200
What is √12 + √48?
6√3
200
Solve √(2x+3) = 3
What is 3
300
If f(x) = x2 + 1 and g(x) = x + 3, find f(g(x)).
x2 + 6x + 10
300
An inverse and its function are _________________of each other graphically over the line _______________.
reflections, y = x
300
What is the extrema for this function?
y = 3
300
Simplify √6x* √3x
3x√2
300
Solve
x = -33
400
If f(x) = x - 4, g(x) = √x-2, and h(x) = 2x2-5, evaluate f(h(g(5))).
-3
400
How do you verify that two functions are inverses?
Compose the two functions f(g(x)) and g(f(x)) and show that they both equal x.
400
What is the domain of this function?
(-∞,∞)
400
Simplify
400
Solve
x = -2 and x = 2
500
If f(x) = 3x - 1 and g(x) = 4x + 7, if you calculate f(x) / g(x), what value of x makes it undefined?
-7/4
500
Find the inverse of f(x) = 4x + 16
f-1(x) = 1/4x - 4
500
True or False: A 5th root can be imaginary. If false, explain why.
False. Odd index roots are never imaginary because they always have a root.
500
Simplify
500
Solve
No solution