Operations and Composite Functions Review

Addition/Subtraction

100

h(x) = 3x + 3

g(x) = -4x + 1

(h + g)(x) = ?

-x + 4

200

h(n) = 2n - 1

g(n) = 4n + 5

(h + g)(6) = ?

40

300

g(x) = 2x - 2

h(x) = 3x + 2

(g - h)(x) = ?

-x - 4

400

g(a) = 4a - 3

h(a) = 2a

(g - h)(-8) = ?

-19

500

f(x) = 4x - 3

g(x) = x³ + 2x

(f - g)(4) = ?

-59

Multiplication/Division

100

g(x) = -2x + 1

f(x) = 4x - 4

(g * f)(2) = ?

-12

200

f(n) = n + 4

g(n) = -2n + 2

(f * g)(n) = ?

-2n² - 6n + 8

300

g(a) = a - 2

h(a) = -a² - 4a

(g * h)(1) = ?

5

400

g(a) = a²-8a+15

f(a) = a - 3

(g / f)(a) = ?

a - 5

500

f(n) = 2n + 1

g(n) = n² + 3

(f / g)(0) = ?

1/3

Miscellaneous 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) = x² + 3x - 10

g(x) = x + 5

(f / g)(x) = ?

x - 2

500

f(x) = 8 - x³

g(x) = x - 3

(f * g)(x) = ?

-x⁴ + 3x³ + 8x - 24

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

More Compositions

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(f(x)) = ?

10x² + 25x + 1

400

f(x) = 2 + x⁴

g(x) = -x²

f(g(x)) = ?

2 + x⁸

500

f(x) = x² - 9

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

f(g(x)) = ?

x - 6