Functions Fun

Adding/Subtracting

100

f(x) = x

g(x) = 5

What is (f + g)(x)?

(f + g)(x) = x + 5

200

f(x) = 2x + 1

g(x) = 7x - 9

What is (f + g)(3)?

(f + g)(3) = 19

300

f(x) = x³ + 45

g(x) = 2x + 7

What is (f - g)(x)?

(f - g)(x) = x³ - 2x + 38

400

f(x) = 5x³ + 9x²

g(x) = 3x - 42

What is (f + g)(x)?

(f + g)(x) = 5x³ + 9x² + 3x -42

500

f(x) = 8x³ - 4x² + 3

g(x) = 12x² + 18 - x

What is (f - g)(0)?

(f - g)(x) = - 15

Multiplication

100

f(x) = 8

h(x) = 5x

What is (f ⋅ h)(x)?

(f ⋅ h)(x) = 40x

200

f(x) = 12x

h(x) = -3x

What is (f ⋅ h)(3)?

(f ⋅ h)(x) = -324

300

f(x) = x + 14

h(x) = 2x - 2

What is (f ⋅ h)(2)?

(f ⋅ h)(2) = 32

400

f(x) = 8x² - 3

h(x) = 7x³ - 8

What is (f ⋅ h)(x)?

(f ⋅ h)(x) = 56x⁵ - 21x³ - 64x² + 24

500

f(x) = 2x - 9

h(x) = 4x² - 10x + 3

What is (f ⋅ h)(x)?

(f ⋅ h)(x) = 8x³ - 56x² + 96x - 27

Division

100

f(x) = 78

g(x) = x

Find  (f/g)(x)

f/g = 78/x

200

f(x) = x + 3

g(x) = 2x - 5

Find  (f/g)(7)

 (f/g)(7)=10/9

300

f(x) = 3x

g(x) = x² - 8

Find  (f/g)(5)

 (f/g)(5) = 15/17

400

f(x) = 25x²

g(x) = 25x²

Find  (f/g)(x)

 (f/g)(x) = 1

500

f(x) = 13x - 18

g(x) = 5x² +7

Find  (f/g)(4)

 (f/g)(4) = 34/87

Composition

100

p(x) = 3x - 5

h(x) = 2x

Find (p@h)(x)

(p@h)(x) = 6x - 5

200

p(x) = 7x + 4

h(x) = 2x - 8

Find (p@h)(x)

(p@h)(x)= 14x - 52

300

p(x) = 9x - 1

h(x) = 2x + 3

Find (h@p)(4)

(h@p)(4)= 73

400

p(x) = 4x - 8

h(x) = x² + 1

Find (p@h)(3)

(p@h)(x) = 32

500

p(x) = 3x + 4

h(x) = x² - 12

Find (h@p)(x)

(h@p)(x) = 9x^2 + 24x + 4

I Dare You

100

g(x) = 3x

k(x) = -8x² + 1

Find  (g-k)(2)

(g-k)(2) = 37

200

b(x) = 3x

t(x) = 9

Find  (b*t)(10)

(b*t)(10) = 270

300

g(x) = 2x + 8

k(x) = -3x + 5

Find  (k*g)5

 (k*g)5 = -180

400

m(x) = 2x² - 12

b(x) = 7x + 8

Find  (m/b)(4)

 (m/b)(4) = 5/9 

500

k(x) = 2x + 8

b(x) = x² - 4x

Find  (k*b)(3)

 (k*b)(3) = - 42