Radical Functions

Rational Exponents

100

Simplify

sqrt(16x^4y^12)

4x²y⁶

200

Simplify

 sqrt(x^2y^3)*sqrt(x^4y^5) 

x³y⁴

300

Simplify

5sqrt(7)-2sqrt(175)

-5sqrt(7)

400

Simplify

sqrt(48a^8)/sqrt(16a^2)

a^2sqrt(3)

500

Simplify

(5sqrt(11)+2)(2sqrt(11)+5)

120+29sqrt(11)

Composition of Functions

100

Find 

fcircg

f(x) = 3x - 4

g(x) = 5x²

15x²-4

200

Find   gcircf  

f(x) = -x² - 2x

g(x) = -2x - 5

2x^2+4x-5

300

Find  f*g 

f(x) = x² - 2x

g(x) = x - 7

x^3-9x^2+14x

 

400

Find  f-g 

f(x) = 6x - 3

g(x) = x - 3

5x

500

Find  (fcircg)(9) 

f(x) = x²  

g(x) = x²+4  

7225

Inverse Functions

100

Find the inverse

y = 3x + 8

f^-1(x)=(x-8)/3

200

Find the inverse

y = x² - 1

f^-1(x)=sqrt(x+1)

300

Find  f^-1(x) 

y = x²-3

f^-1(x) =sqrt(x+3)

400

Find the inverse. Do not multiply, leave in parenthesis.

f(x)=root(3)(x+2)-4

f^-1(x)=(x+4)^3-2

500

Find the inverse.

 f(x)=sqrt(3+x) 

f^-1(x)=x^2-3

Entertainment

100

Which actor played the lead role in the 2015 film 'Jurassic World'?

Chris Pratt

200

Which band had a hit with the song 'Mr. Brightside'?

The Killers

300

Which reality TV series do you associate with the quote: 'The tribe has spoken'?

Survivor

400

Jerry, George, Elaine, and Kramer were the main characters in which TV sitcom?

Seinfeld

500

What is the name of the little boy who befriends E.T. in the movie of the same name?

Elliot

Solving Radical Equations

100

Solve

(x+5)^1/2  = 3

x = 4

200

Solve

(x-7)^1/2 - 3 = 4

x = 56

300

Solve

sqrt(3x-2)+4=6

x = 2

400

Solve

-3root(3)(2-3x)-2 = 1

x = 1

500

Solve.

root(3)(x^2 +5x +3)-7=-4

x = -1