Operations with Functions

Find 2f(x) + 3g(x)

Find g(x) – f(x)

Find f(-3)

2 2( ) 2 5 11 and ( ) 4 4 5f x x x g x x x

Test Review

GSE Algebra I

EQ:

How do you multiply

polynomials?Standard: M.ALGI.4.14: Polynomials: Multiply

Multiplying

Polynomials

Exponent Rules

Product of a power:

If the bases are the same, and we need to multiply,

we just add the exponents.

So

m n m na a a

2 4

3 2

2

?

(2 )(5 ) ?

(3 )( 6 )

x x

x y xy

a a b

(5)(x + 6)

5 30x

(x2)(x + 6)

3 26x x

(-2x)(x2 – 4x + 2)

3 22 8 4x x x

(2x + 5)(x + 6)

22 17 30 x x

(x + 9) (x – 3)

2 6 27 x x

(3x – 1)(2x – 4)

26 14 4 x x

(2x – 3)(2x + 3)

24 9x

(3b2 – 2b + 5)(5b – 6)

3 215 28 37 30 b b b

(2y + 2)(-3y2 + 5y – 4)

3 26 4 2 8 y y y

Find the area of the rectangle.

228 96 80 x x

7 10x

4 8x

Find the area of the rectangle.

25 21 4 x x

4x

5 1x

Find the volume.

3 29 18 x x x

3x

6x

x

Combining

Functions

Simplify.

2 3If 4 2 and 3 ,

find .

f x x g x x

f g x

5 312 6x x

Simplify.

If 2 9 and 5 4,

find .

f x x g x x

f g x

210 37 36x x

Simplify.

2 2If and 2 ,

find

15 5 10

.

f x g x x

f

x

g x

x

4 3 230 10 20x x x