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 if f^-1(x)?
What is f^-1(x) = (2, 3), (3, -2)
100
What would the domain be for f(x) = root(x + 5)
What is Domain: (-5, inf)
100
What is root 17 plus root 15
What is root 17 plus root 15
100
Convert the cube root of x to a rational exponent
What is x to the (1/3) power
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
What is the cube root of -81?
What is -3
200
Daily Double: You Lose 200 pts. We are sorry
What is FAILURE
200
Convert x to the (2/5) power to a radical
What is the fifth root of x squared
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.
What is reflections
300
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.
300
FOIL: (1 + root 3)(1 - root 3)
What is -2
300
Daily Double: You win 300 pts. Congratulations
What is SUCCESS
400
If f(x) = 2x - 4 and g(x) = 3x - 5, what is g(f(5))?
What is 13
400
An inverse and its function are reflections of each other over the line y = _____
What is x
400
What is the 6th root of x to the 8th power?
What is xroot(x^2)
400
What is root 12 plus root 48?
What is 6 root 3
400
The process of getting rid of a radical on a denominator is called what?
What is rationalizing a denominator
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 -7/4
500
How would you verify the two functions are inverses of each other by using a composition of functions?
What is by showing that f(g(x)) and g(f(x)) both equal x.
500
When you take the square root of 16, we obviously get 4. We do not put plus or minus 4 because root 16 is called a ___________________square root.
What is principal
500
(1 + root 3) and (1 - root 3) are called what?
What is conjugates
500
Consider: The cube root of 7 divided by the cube root of 4. What are you going to multiply the entire problem by to eliminate the radical on the denominator?
What is the cube root of 2 (in order to get the cube root of 8).