Simplifying Expressions
Evaluate:
9 - 5/2
13/2
Write the square root of x using exponent notation
x^(1/2)
Describe the transformation from
f(x) = square root of x
to
g(x) = square root of (x + 4) minus 5
Shift left 4 units and down 5 units
State the domain of f(g(x)) when:
f(x) =
3x^2 + 6
g(x) = x + 5
Domain: all real numbers
This frog meme shows a sad, humanoid frog and is often used to express existential despair online.
Who is Pepe the Frog?
Simplify:
5^(3/4)*5^(5)
5^(23/4)
Simplify
root(4)(768
4root(4)(3)
Solve: 2 minus square root of x equals 0
x = 4
Find the inverse of
f(x) = 16x^2
, where x<0
inverse =
- sqrt (x) /4
Which actor voiced both Darth Vader and The Lion King‘s Mufasa?
James Earl Jones
Find (f + g)(x) given:
f(x) =
4x^3 + 2x^2 - 6x
g(x) =
-5x^3 - 5x^2 - 4x - 1
(f + g)(x) =
-x^3 - 3x^2 - 10x - 1
Simplify:
sqrt(9 * x^2)
3x
Solve:
x = sqrt(x + 42)
x = 6
Find the inverse of
f(x) = (1/6)x^3 - 8
inverse =
root(3)(6x + 48))
Britney Spears, Christina Aguilera, Justin Timberlake and Fergie all got their start on which TV show?
The Mickey Mouse Club
Multiply (f * g)(x) given:
f(x) = 4x
g(x) =
x^(1/4)
4x^(5/4)
Convert
x^(6/7)
into radical form
root(7)(x^6)
Solve:
sqrt(5x - 7) = sqrt (2x + 5)
x = 4
Find the inverse of f(x) = 2x + 7
inverse =
(x - 7) / 2
What are the names of Kim Kardashian and Kanye West’s kids? (100pts for each correct answer)
North, Saint, Chicago and Psalm
Find f(g(x)) given:
f(x) =
3x^2 + 6
g(x) = x + 5
3(x + 5)^2 + 6
Convert
root(3)(x^5)
into exponent form
x^(5/3)
3sqrt(15x + 9) =9
x =
2/5
How do you verify that two functions are inverses?
Check by confirming f(f^-1(x)) = x and f^-1(f(x)) = x
This band’s 1973 album The Dark Side of the Moon spent over 900 weeks on the Billboard 200 chart.
Who is Pink Floyd?