Honors Algebra Review

f(x) = 3x + 10
g(x) = x - 2
Find f(g(x))

• 3x² - 2

• 3x + 8

• 3x + 4

• None of these.

Simplify: 
(7 + 2i)(9 - 6i)

• 75-24i

• 63 - 24i  - 12i²

• 51 - 24i

• 58 + 60i

Multiply: 
(4 – 3i)(7 + 2i)

•  22 - 13i

•  28 - 19i

•  34 - 13i

•   -34 - 29i

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

• f(x) = (x+2)(x-1)(x-4)

• f(x) =x³ - 3x² - 6x + 8

• f(x) = x³ + 8

• f(x) = x³ - 3x² + 8

x³ - 27

• (x - 4)(x² + 4x + 16)

• (x + 3)(x² - 4x + 16)

• (x - 1)(x² + 1x + 1)

• (x - 3)(x² + 3x + 9)

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4

• 2

• 8

• 20

Complete the square.
x² + 6x + ____

• x² + 6x + 9

• x² + 6x - 36

• x² + 6x + 36

• x² + 6x - 9

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3

• f^-1(x) = -1/4x - 3

• f^-1(x) = 1/4x + 3

• f^-1(x) = -4x - 3

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

• True

• False

What is the domain of the absolute value function?

• (4, 0)

• (0, 4)

• (-infinity, infinity)

• [4, infinity)