Operations and Composite Functions Review

+ - of Functions

100

h(x) = 3x + 3

g(x) = -4x + 1

h(x) + g(x) = ?

-x + 4

200

h(n) = 2n - 1

g(n) = 4n + 5

h(n) + g(n) = ?

6n+4

300

g(x) = 2x - 2

h(x) = 3x + 2

g(x) - h(x) = ?

-x-4

400

g(a) = 4a - 3

h(a) = 2a

g(a) - h(a) = ?

2a-3

500

f(x) = 4x - 3

g(x) = x³ + 2x

f(x) - g(x) = ?

-x³-2x-3

X / of Functions

100

g(x) = x + 1

f(x) = x - 4

g(x)*f(x) = ?

x²-3x-4

200

f(n) = n + 4

g(n) = n + 2

f(n)*g(n) = ?

n²+6n+8

300

g(a) = a - 2

h(a) = a - 4

g(a)*h(a) = 

a²-6a+8

400

g(a) = 3a +6

f(a) = 2a + 4

g(a)/f(a) = ?

3/2

500

f(n) = 2n + 6

g(n) = 3n + 9

f(n)/g(n) = ?

2/3

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

g(h(-4)) = ?

135

400

f(a) = -2a + 3

g(a) = -3a + 4

f(g(4)) = ?

19

500

g(x) = 4 - x² 

f(x) = x + 2

g(f(-2)) = ?

4

Variables of Operations

100

f(x) = 8 - x³

g(x) = x - 3

f(x) + g(x) = ?

-x³ + x + 5

200

f(x) = 8 - x³

g(x) = x - 3

f(x) - g(x) = ?

-x³ - x + 11

300

f(x) = x - 9

g(x) = x + 5

f(x)*g(x) = ?

x² - 4x - 45

400

f(x) = 8 - x³

g(x) = x - 3

f(x)/g(x) = ?

( 8 - x³ )/(x - 3)

500

f(x) = 8 - x³

g(x) = x - 3

f(x)*g(x) = ?

-x⁴ + 3x³ + 8x - 24

Variables of Composition

100

f(x) = 2x - 3

g(x) = 4x - 8

f(g(1)) = ?

-11

200

g(x) = 4x - 8

f(x) = 2x - 3

g(f(2)) = ?

-4

300

g(x) = -5x + 6

f(x) = -2x² + 1

g(f(1)) = ?

11

400

f(x) = 2 + x³

g(x) = x²

f(g(2)) = ?

66

500

f(x) = x² - 9

g(x) = (x + 3)

f(g(3)) = ?

27