Function Operations

Random

Addition

Subtraction

Multiplication

Composite Functions

100

If f(x) = 3x - 5, then f(0) equals what?

f(0) = -5

100

Let f(x) = 4x - 1 and g(x) = 2x² + 3. Then (f + g)(x) equals what?

(f + g)(x) = 2x² + 4x + 2

100

Let f(x) = 4x - 1 and g(x) = 2x² + 3. Then (f - g)(x) equals what?

(f - g)(x) = -2x² + 4x - 4

100

Let f(x) = 4x - 1 and g(x) = 2x² + 3. Then (f cdot g)(x) equals what?

(fg)(x) = 8x³ - 2x² + 12x - 3

100

Let f(x) = 3x² + 2 and g(x) = 2x. Then (f o g)(x) equals what?

(f o g)(x) = 12x² + 2

200

If f(x) = 2x + 3, then f(-3) equals what?

f(-3) = -3

200

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

(f + g)(x) = -4x + 7

200

Let f(x) = 4x - 1 and g(x) = 2x² + 3. Then (g - f)(x) equals what?

(g - f)(x) = 2x² - 4x + 4

200

Let f(x) = 3x + 5 and g(x) = x². Then (f cdot g)(x) equals what?

(fg)(x) = 3x³ + 5x²

200

Let f(x) = 3x² + 2 and g(x) = 2x. Then (g o f)(x) equals what?

(g o f)(x) = 6x² + 4

300

This is the term for all of the x-values of a function.

Domain

300

Let f(x) = 3x + 5 and g(x) = x². Then (f + g)(x) equals what?

(f + g)(x) = x² + 3x + 5

300

Let f(x) = -3x + 2 and g(x) = -2x² + 9. Then (f - g)(x) equals what?

(f - g)(x) = 2x² - 3x - 7

300

Let f(x) = 2x² + x - 3 and g(x) = x - 1. Then (f cdot g)(x) equals what?

(fg)(x) = 2x³ - x² - 4x + 3

300

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

(f o g)(1) = 18

400

What is the difference between (f cdot g)(x) versus (f circ g)(x) ?

(f cdot g)(x) = f(x) cdot g(x) Multiplication

(f circ g)(x) = f(g(x)) Composite

400

Let f(x) = 3x + 5 and g(x) = x². Then (f + g)(x) equals what?

(f + g)(x) = x² + 3x + 5

400

Let f(x) = 3x + 5 and g(x) = x². Then (f - g)(x) equals what?

(f - g)(x) = -x² + 3x + 5

400

Let f(x) = x² - 5 and g(x) = 3x + 2. Then (f cdot g)(x) equals what?

(fg)(x) = 3x³ + 2x² - 15x - 10

400

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

(f o g)(-2) = 0

500

This is the term for all of the y-values of a function.

Range

500

Let f(x) = x² - 5 and g(x) = 3x + 2. Then (f + g)(x) equals what?

(f + g)(x) = x² + 3x - 3

500

Let f(x) = 2x² + x - 3 and g(x) = x - 1. Then (f - g)(x) equals what?

(f - g)(x) = 2x² - 2

500

Let f(x) = 2x² + 4x - 3 and g(x) = x - 3. Then (f cdot g)(x) equals what?

(fg)(x) = 2x³ - 2x² - 15x + 9

500

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

(g o f)(2) = 16