Extra Credit Jeopardy Game

6.2 function composition

100

g(t) = 4t - 1 f (t) = t2 + 4t Find g( f (t))

g(f(t))=4t²+16t−1

200

g(t) = 4t - 2 h(t) = -3t³ - 4t² Find g(h(t))

g(h(t))=−12t³−16t²−2

300

h(x) = 4x + 2 Find h(h(x))

h(h(x))=16x+10

400

h(t) = 3t - 3 g(t) = 4t + 3 Find h(g(4))

h(g(4))=150

500

g(a) = a² + a f (a) = a + 2 Find g( f (-7))

g( f (-7))=-5+a

4.1 simplifying polynomials

100

(5n²+3n)+(7n+5n²)

10n²+10n

200

(3-2p) - (8-6p)

-8p-5

300

(5x⁴+6) + (4x⁴-2)

9x⁴+4

400

(6-7x+x⁴) + (4+5x+2x³)

x⁴+2x³−2x+10

500

(7n²-5n⁴+2n³ ) - (4n⁴-5n²-7)

−9n⁴+2n³+12n²+7

5.3 simplify radicals

100

-3√3-3√3

-6√3

200

3√6-√6

2√6

300

-√6+2√6

√6

400

-√3-2√3

3√3

500

-3√5-3√5

6√5

4.3 trinomials and grouping

100

9x³+15x²+3x+5

(3x²+1)(3x+5)

200

2x³−7x²−4x+14

(x²−2)(2x−7)

300

35k³+28k²−30k−24

(7k²−6)(5k+4)

400

48r³+36r²+40r+30

2(6r²+5)(4r+3)

500

6x³−36²x+36x−216

6(x²+6)(x−6)