AST Algebra and Functions 2

Question 1

If h(x) = x³ - 4x, what is h(-2)?

Accepted Answer

0

Answer

h(-2) = (-2)³ - 4(-2) = -8 + 8 = 0.

Question 2

For which values of x is 2x² - 8 = 0?

Accepted Answer

x = ±2

Answer

2x² = 8 → x² = 4 → x = ±2.

Question 3

Line m passes through (1, 3) and (4, 9). What is its slope?

Accepted Answer

2

Answer

Slope = (9 - 3)/(4 - 1) = 6/3 = 2.

Question 4

If f(x) = 5x - 1 and g(x) = x + 4, what is f(g(3))?

Accepted Answer

34

Answer

g(3) = 3 + 4 = 7. f(7) = 5(7) - 1 = 34.

Question 5

Solve the inequality: 3x - 5 > 10.

Accepted Answer

x > 5

Answer

3x > 15 → x > 5.

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