Function Operations

Inverse Functions

100

Find the inverse of {(2,-2) (4, 0) (6, -3) (-7, 2)}

{(-2, 2), (0, 4), (-3, 6) (2, -7)}

200

State if the given functions are inverses, show all work. f(n) = 2(n-2)^3 g(n) = 2 + 1/2(4n)^(1/3)

Yes

300

Find the inverse of the given function, h(x)=(x)^(1/3) -3

(x+3)^3

400

State if the given functions are inverses, show all work. g(x) = 4 - (3/2)x f(x) = (1/2)x + (3/2)

No, because fog(x) and gof(x) do not equal x.

500

Find the inverse of g(x) = 1/(x-1)

What is 1+ (1/x)

Addition

100

Let f(x)=4x-1 and g(x)=2x^2+3. Then f(x)+g(x) equals what?

What is What is 2x^2 + 4x + 2

200

Let f(x)=-3x+2 and g(x)=5-x. Then f(x)+g(x) equals what?

What is -4x + 7

300

Let f(x)=3x+5 and g(x)=x^2. Then f(x)+g(x) equals what?

What is x^2 + 3x + 5

400

Let f(x)=3x+5 and g(x)=x^2. Then 2f(x)+3g(x) equals what?

What is 3x^2 + 6x +10

500

Let f(x)=x^2-5 and g(x)=3x+2. Then -2f(x)+g(x) equals what?

What is -2x^2 + 3x + 12

Subtraction

100

Let f(x)=4x-1 and g(x)=2x^2+3. Then f(x)-g(x) equals what?

What is -2x^2 + 4x - 4

200

Let f(x)=4x-1 and g(x)=2x^2+3. Then g(x)-f(x) equals what?

What is 2x^2 - 4x - 4

300

Let f(x)=-3x+2 and g(x)=-2x^2+9. Then f(x)-g(x) equals what?

What is 2x^2 - 3x - 7

400

Let f(x)=3x+5 and g(x)=x^2. Then f(x)-2g(x) equals what?

What is -2x^2 + 3x + 5

500

Let f(x)=2x^2+x-3 and g(x)=x-1. Then 2f(x)-3g(x) equals what?

What is 4x^2 - x - 3

Multiplication and Division

100

Let f(x)=4x-1 and g(x)=2x^2+3. Then f(x)*g(x) equals what?

What is 8x^3 - 2x^2 + 12x - 3

200

Let f(x)=-3x^2 -x and g(x)=-2x -4. Then f/g(x) equals what?

3x^2 + x / 2x+4

The first team who can quietly write down the domain and show it to me can win a free 100 points.

300

Let f(x)=2x^2+x-3 and g(x)=x-1. Then f(x)*g(x) equals what?

What is 2x^3 - x^2 - 4x +3

400

Let f(x)=x^2-5 and g(x)=3x+2. Then f(x)*g(x) equals what?

What is 3x^3 + 2x - 15x - 10

500

Let f(x)=2x^2-5x-3 and g(x)=x-3. Then f/g(x) equals what?

What is 2x +1

The first team who can quietly tell me the domain gets a free 100 points.

Composite Functions

100

Let f(x)=3x^2+2 and g(x)=2x. Then (f o g)(x) equals what?

What is 12x^2 + 2

200

Let f(x)=3x^2+2 and g(x)=2x. Then (g o f)(x) equals what?

What is 6x^2 + 4

300

Let f(x)=3x and g(x)=2x+4. Then (f o g)(1) equals what?

What is 18

400

Let f(x)=3x and g(x)=3x^2 - 2x+4. Then (g o f)(x) equals what?

What is 27x^2 + 12x + 5

500

Let f(x)=x^2 + 3x and g(x)=2x-2. Then (go f)(-2+x) equals what?

What is 2x^2 -2x -6