what's kbki?

Domain and Range

100

Find the domain of

h(x) = 41x + 67

{x|x∈R}

200

For which values of x is the following function not defined?

e(x) = 1/(x² - 1)

x ≠ 1, -1

300

Evaluate the range of

L(x) = √(4 - x²)

{y|0≤y≤2, y∈R}

400

My domain is {x≤2, x∈R}

My range is {y|y≥0, y∈R}

What function could I be?

√(2-x)

[or any other which fits]

600

Find the range of the general quadratic function

y = x² + px + q

{y| y ≥ q - p²/4, y∈R}

Set Notation

100

A = {odd numbers less than 10}

Find the number of elements in A

n(A) = 5

200

A = {positive even numbers less than 100}

B = {positive perfect squares less than 100}

C = A ∩ B

Find and write the contents of C

C = {4, 16, 36, 64}

Vectors

100

Given that:

a = 2i + 3j

b = -6i + 7j

Find a + b

-4i + 10j

300

a = 5i + xj

b = yi - j

If the sum of both vectors leads to a zero-vector, find x + y

-4

Functions

100

If f(x) = 2x + 1

Find f(3)

7

200

Given that f(x) = (x+1)/2

Find f^-1(1)

1

300

f(x) = 3x - 1

g(x) = x² - x + 3

Find the value of x where f(x) = g(x)

x = 2

400

Given that f(x) = (10 - 2x)/(x + 2)

Evaluate ffffff(4)

4

600

Given that:

f(x) is a linear function in the form of y = 2x + A

g(x) is a quadratic function in the form of y = x² + px + q

If gf(2) = q, find the value of A

-4

Trigonometry

100

[all units are in degrees]

Evaluate sin(30) + cos(30)

(√3 + 1)/2

300

sin(x) = 5/13

tan(x) = 5/12

Find the value of cos(x)

12/13

400

Find the range of

y = sin(x) + cos(x)

{y| -√2 ≤ y ≤ √2, y∈R}