Function review Part 1

FOIL (or box or distribute)

100

(x+3)(x+3)

x² +6x+9

200

(x+4)(x-4)

x² -16

300

(2x +2) (3x +3)

6x² +12x +6

400

(3x - 5) (4x -7) 

12x² -41x +35

500

(2x +2.5)( 3x - 3.5) 

6x² +0.5x -8.75

Add functions

100

f(x) = 4x +1

g(x)= 2x+4

find f(x) + g(x)

6x +5

200

f(x)= 2x +5

g(x)= 2x² +3x

find f(x) +g(x)

2x² + 5x +5

300

f(n)= 2n +1 

g(n)= n² -4

Find (f+g)(n)

n² + 2n -3

400

f(x) = 2x + 5

g(x) = x³ +5n²

find (f+g)(x)

x³ + 5n² +2x +5

500

f(x)= x³ -5x² +x

g(x)= 2x-3

Find f(x) + g(x) 

x³ -5x² +3x -3

Subtract Functions

100

f(x)= 4x +3

g(x)= 3x +1

Find f(x)- g(x)

x +2 

200

f(x) = 3x² +4x +12

g(x)= -4x-2

Find (f-g)(x)

3x² +8x +14

300

f(x)= 4x-3

g(x)= 2x² -2x

Find (f-g)(x)

-2x² +6x -3

400

f(x)= 4x

g(x)= -3x +3

find (f-g)(x)

7x-3

500

f(x)= 3x² +x³

g(x)= x² +4x

find (f-g)(x)

x³ +2x² -4x

Evaluate Functions

100

f(x)= 3x +1

find f(3)

10

200

f(x)= -4n +2 

find f(-2)

10

300

f(x)= 3.5x +13

find f(-2)

6

400

f(x)= x³ +3x²

Find f(4) 

112

500

f(x)= 3x² -2x +2

Find f(-5)

87

Multiply Functions

100

f(x)= 4x

g(x)= 2x

Multiply f(x) times g(x)

8x²

200

f(x)= 4x +2

g(x) = 3x +1 

Please multiply

12x² +10x +2

300

f(x)= 12x +2

g(x)= x -2

Please multiply

12x² -22x -4

400

f(x)= 6x +3

g(x)= 6x -3

Please multiply

36x² -9

500

f(x)= 4x-4

g(x)= x³ +4x²

4x⁴ +12x³ -16x²