Unit 2 Jeopardy

Add/Subtract Rational

100

Find the value of:

(x² + 6x + 3) + (2x² + 4x + 12)

3x³ + 10x + 15

200

Find the value of: 

(5x² - 11x + 6) + (-5x² - 3x + 14)

-14x + 20

300

Find the value of: 

(x³ + 11x² + 9x) + (4x² - 2x - 1)

x³ + 15x² + 7x - 1

400

Find the value of: 

(x² - 4x - 12) - (3x + 10)

x² - 7x - 22

500

Find the value of: 

(15x² - 12x + 11) - (-x³ - 12x² + x + 4)

x³ + 27x² - 13x + 7

Multiply/Divide Rational

100

Multiply: 

(x + 4)(x + 11)

x² + 15x + 44

200

Multiply: 

(x² + 3x + 4)(x + 1)

x³ + 4x² + 7x + 4

300

Divide x² + 3x + 2 by (x + 1)

(x + 2)

400

Divide: 

(2x² - 17x - 38) by (2x + 3)

x - 10 - (8/2x + 3) or 

x - 10 r. -8

500

Divide: 

(x³ - 10x² + 20x + 26) by (x - 5)

x² - 5x - 5 r. 1

Compose/Combine Functions

100

f(x) = 2x and g(x) = 5x 

Find f(x) + g(x)

7x

200

f(x) = 4x² + 3x + 9 and g(x) = x² - 4x - 1

Find g(x) - f(x)

-3x² - 7x - 10

300

f(x) = x + 4 and g(x) = x²

Find f(g(3))

g(3) = 9

f(9) = 13

Answer: 13

400

f(x) = 2x + 1 and g(x) = x - 4

Find f(g(x))

f(g(x)) = 2(x - 4) + 1

= 2x - 8 + 1

= 2x - 7

500

f(x) = 3x - 4 and g(x) = 2x² 

Find g(f(x))

g(f(x)) = 2(3x - 4)² 

= 2(9x² - 24x + 16) 

= 18x² - 48x + 32

Inverse Functions

100

The point (0 , 9) is on the graph of f(x) 

What point must be on the graph f^-1(x) ?

(9 , 0)

200

If f(g(x)) = x and g(f(x)) = x what do you know?

f(x) and g(x) are inverse functions

300

Find the inverse of f(x) = 2x + 3

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

400

Find the inverse of f(x) = (x - 2)/(2x + 4)

f^-1(x) = (-4x - 2)/(2x - 1)

500

Find the inverse of f(x) = 5x² + 11

y = square root ((x + 1)/5)