Factoring
Domain
Unit Circle
Function Evaluation
Grab Bag
100

x^2+3x-18

(x+6)(x-3)

100

The domain of 

x^2

What is all real numbers?

100

sin(0)

What is 0?
100

f(x) = x^2+2x+1 \text{ at } x = 3

What is 

f(3) = 16

100

1/12 + 3/4 \text{ in reduced form}

What is 

5/6

200

3x^2+10x+7

(3x+7)(x+1)

200

The domain of 

sqrt(x)

What is 

{x \in \mathbb{R} : x \geq 0}

[0, oo)

200

cos(pi/4)

What is 

sqrt(2)/2

200

g(t) = (6 + t)/(t^2+1) \text{ at } t = 4

What is 

g(4)=10/17

200

Solve for x

ckx + lp = hx - 2g

What is 

x = (lp + 2g)/(h-ck) \text{ or equivalent form}

300

x^3-9x^2+20x

x(x-4)(x-5)

300

The domain of 

(2+x)/(x-1)

What is 

{x \in \mathbb{R} : x \ne 1} 

(-oo, 1) \cup (1, oo)

300

tan((7pi)/6)

What is 

1/sqrt(3)

300

h(x) = 6x^2 + 2x + 1/x \text{ at } x = p+1

What is 

h(p+1) = 6(p+1)^2+2(p+1)+1/(p+1)

300

x/(x+1) - (3x)/(x^2 + 1) \text{ as a single fraction}

What is 

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

400

4x^3-4x^2-48x

4x(x+3)(x-4)

400

The domain of 

(x + 1)/((x+1)(x-2))

What is 

{x \in \mathbb{R} : x \ne -1 and x \ne 2}

(oo, -1) \cup (-1, 2) \cup (2, oo)

400

sec((7pi)/4)

What is 

2/sqrt(2)

400

f(x) = 2x^2 - 3x^3 \text{ at } g(x) = x^4 \text{ and simplify}

What is 

f(g(x)) = 2x^8-3x^12

400

Simplify 

(x^3+5x^2+6x)/(x^2+x-2)

What is 

(x(x+3))/(x-1)

500

x^4-13x^2+36

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

500

The domain of 

x/(sqrt(x-2))

What is 

{x \in \mathbb{R} : x>2}

(2, oo)

500

cot((3pi)/2)

What is 0?

500

g(x) = 15x^(1/2) + 2x^2 + 4 \text{ at } f(x) = 4x^6 \text{ and simplify}

What is 

30x^3 + 32x^12 + 4

500

The range of 

e^x

What is 

(0, oo)

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