Operations and Composite Functions Review

+ - of Functions

100

h(x) = 3x + 3

g(x) = -4x + 1

(h+g)(10) = ?

-6

200

h(n) = 2n - 1

g(n) = 4n + 5

(h+g)(6)  = ?

40

300

g(x) = 2x - 2

h(x) = 3x + 2

(h-g)(1)  = ?

5

400

g(a) = 4a - 3

h(a) = 2a

(g - h)(-8)  = ?

-19

500

f(x) = 4x - 3

g(x) = x³ + 2x

(g - f)(4)  = ?

59

X / of Functions

100

g(x) = -2x + 1

f(x) = 4x - 4

(g * f)(2) = ?

-12

200

f(n) = 2n² + 4

g(n) = -2n + 2

f(3)*g(3) = ?

-88

300

g(a) = a - 2

h(a) = -a² - 4a

(g*h)(1) = ?

5

400

g(a) = 3a +2

f(a) = 2a - 4

(g/f)(3)= ?

11/2

500

f(n) = 2n + 1

g(n) = n² + 3

(f/g)(0)= ?

1/3

Composite Functions

100

g(n) = 3n +2

f(n) = 2n² + 5

g(f(2)) = ?

41

200

g(t) = t² + 3

h(t) = 4t - 3

g(h(-1)) = ?

-28

300

g(a) = 2a - 1

h(a) = 3a - 3

(h o g)(4) = ?

18

400

f(a) = -2a + 3

g(a) = -3a + 4

(f o g)(4) = ?

19

500

g(x) = 4 - x² 

f(x) = x + 2

(f o g)(-2) = ?

2

Variables of Operations

100

f(x) = 8 - x³

g(x) = x - 3

(f + g)(x)  = ?

-x³ + x + 5

200

f(x) = 8 - x³

g(x) = x - 3

(f - g)(x)  = ?

-x³ - x + 11

300

f(x) = x - 9

g(x) = x + 5

(f * g)(x) = ?

x² - 4x - 45

400

f(x) = 8 - x³

g(x) = x - 3

(f/g)(x) = ?

( 8 - x³ )/(x - 3)

500

f(x) = 8 - x³

g(x) = x - 3

(f * g)(x) = ?

-x⁴ + 3x³ + 8x - 24

Variables of Composition

100

f(x) = 2x - 3

g(x) = 4x - 8

f(g(x)) = ?

8x - 19

200

g(x) = 4x - 8

f(x) = 2x - 3

g(f(x)) = ?

8x - 20

300

g(x) = -5x + 6

f(x) = -2x² - 5x + 1

(g o f)(x) = ?

10x² + 25x + 1

400

f(x) = 2 + x⁴

g(x) = -x²

(f o g)(x) = ?

2 + x⁸

500

f(x) = x² - 9

g(x) = (x + 3)^1/2

h(x) = x²

h(f(g(x))) = ?

x² - 12x + 36