Combining Functions :)

Adding Functions

100

f(x)= 8x + 5

g(x)= 7x + 2

Find (f+g)(x)

15x + 7

200

h(x)= -8x - 5

g(x)= x - 6

Find (h+g)(x)

-7x - 11

300

f(x)= 3x² - x + 3

g(x)= x² - 2

Find (f+g)(x)

4x² - x + 1

400

k(x)= -3x² - 9x + 3

c(x)= -5x²- 1 + 2x

Find (k+c)(x)

-8x² - 7x + 2

500

k(x)= x³ - 5 - x

c(x)= -5x² + 2x³

Find (k+c)(x)

3x³ - 5x² - x - 5

Subtracting Functions

100

f(x)= 8x + 5

g(x)= 7x + 2

Find (f-g)(x)

x + 3

200

h(x)= -8x - 5

g(x)= x - 6

Find (h-g)(x)

-9x + 1

300

f(x)= 3x² - x + 3

g(x)= x² - 2

Find (f-g)(x)

2x² - x + 5

400

f(x)= 3x² - x + 3

g(x)= x² - 2

Find (g-f)(x)

-2x² + x - 5

500

k(x)= -3x² - 9x + 3

p(x)= -5x² - 1 + 2x

Find (p-k)(x)

-2x² + 11x - 4

Multiplying Functions

100

f(x)= 6

h(x)= 8x

Find (f•h)(x)

48x

200

h(x)= 7

k(x)= -4x + 13

Find (h•k)(x)

-28x + 91

300

d(x)= 3x

g(x)= x + 36

Find (d•g)(x)

3x² + 108x

400

f(x)= x + 5

g(x)= x + 2

Find (f•g)(x)

x² + 7x + 10

500

f(x)= 2x - 5

g(x)= 2x + 3

Find (f•g)(x)

4x² - 4x - 15

Dividing Functions

100

f(x)= 7

h(x)= 8x

Find (f÷h)(x)

7 / 8x

200

g(x)= 3x + 7

f(x)= 5x - 8

Find (g÷f)(x)

(3x + 7)  /  (5x - 8)

300

p(x)= 6x + 18

c(x)= 3

Find (p÷c)(x)

2x + 6

400

g(x)= x²+2x-3

^{f(x)= 2x+1} 

Find (g/f)(x)

(x²+2x-3)/(2x+1)

500

h(x)= x²+5x-6

j(x)= 3x+6

Find (h/j)(x)

(x²+5x-6)/(3x+6)

Function Composition

100

f(x)= 5x

g(x)=20x

find g(f(2))

200

200

f(x)=6x

g(x)=3x

find f(g(-6))

-108

300

f(x)= x²+9x

g(x)=(x+6)

find (f o g)(-2)

52

400

 f(x) = 3x² + 6 

 g(x) = √x

f(g(10))

36

500

g(x) = –6x + 5 

 h(x) = –9x – 11

 find g(h(x))

54x+71