Combinations and Compositions

(f+g)(x)

100

(f+g)(x) f(x) = 3x + 3 g(x) = -4x + 1

-x + 4

200

(f+g)(x) f(x) = 2x + 5 g(x) = -x^2 + 5

-x^2 + 2x + 10

300

(f+g)(x) f(x) = x^2 g(x) = 1-x

x^2 - x + 1

400

(f+g)(x) f(x) = 3 - 2x g(x) = 3x^2 + 2

3x^2 - 2x + 5

500

(f + g)(25) f(x) = 3 - 2x g(x) = sqrt(x)

-42

(f-g)(x)

100

(f-g)(x) f(x) =4x− 3 g(x) =x^3 + 2

-x^3+4x-5

200

(f-g)(x) f(x) =2x− 5 g(x) =4x+ 5

-2x-10

300

(f-g)(x) f(x) =−x^2 − 1 − 2x g(x) =x+ 5

-x^2 - 3x -6

400

(f-g)(x) f(x) =2x+ 1 g(x) =2x+ 2

-1

500

(f - g)(x) f(x) =4x+ 5 g(x) =3x+ 4

x + 1

(fg)(x)

100

g(x) =x^2 + 4 + 2x h(x) =−3x+ 2

-3x^3 - 4x^2 - 8x + 8

200

(fg)(x) f(x) =2x− 1 g(x) =3x− 3

6x^2 - 9x + 4

300

(fg)(x) f(x) =x^2 + 3 g(x) =4x− 3

4x^3 - 3x^2 +12x - 9

400

(fg)(x) f(x) =2x^3 − 5x^2 g(x) =2x− 1

4x^4 − 12x^3 + 5x^2

500

(fg)(x) f(x) =x− 4 g(x) =x3 − 3

x^4 -4x^3 -3x + 12

(f/g)(x)

100

(f/g)(x) f(x) =3x+ 2 g(x) =2x− 4

(3x + 2) / (2x - 4)

200

(f/g)(x) f(x) =3x− 1 g(x) =x^2 −x

(3x - 1) / (x^2 - x)

300

(f/g)(x) f(x) =−3x^2 −x g(x) =−2x− 4

(-3x^2 - x) / (-2x - 4)

400

(f/g)(3) f(x) = 3x g(x) =−x^3 − 3

-3/10

500

(f/g)(-4x) f(x) =2x+ 2 g(x) =−3x− 1

(−8x+ 2) / (12x− 1)

(f ° g)(x)

100

f(g(x)) f(x) =3x+ 2 g(x) =2x^2 + 5

6x^2 + 17

200

f(g(x)) f(x) = 2x g(x) =−x− 4

-2x - 8

300

f(g(x)) f(x) =2x+ 3 g(x) =x− 1

2x + 1

400

f(g(x)) f(x) =x^2 − 2 g(x) =4x+ 1

16x^2 + 8x− 1

500

f(g(-4+x) f(x) =2x+ 2 g(x) =−2x− 5

-4x + 8