Composition of Functions and Modeling — Unit test

Question 1

What is the solution of log2 (3x - 7) = 3?

Revolt · Accepted Answer

5

Question 2

How many integers satisfy the inequality (x 2 – 4)(x 2 – 10) < 0?

Revolt · Accepted Answer

two

Question 3

What is the solution to x 3 + 4x 2 > x + 4?

Revolt · Accepted Answer

–4 1

Question 4

What is the solution to (x + 2)(x – 3)2 > 0?

Revolt · Accepted Answer

A number line going from negative 4 to 4. Open circles are at negative 2 and 3. The line is shaded to the right of negative 2.

Question 5

Which expression is equivalent to ?

Revolt · Accepted Answer

log Subscript 3 Baseline c minus log Subscript 3 Baseline (9)

Question 6

Machine 1 can complete a task in x hours while an upgraded machine (machine 2) needs 9 fewer hours. The plant manager knows the two machines will take at least 6 hours, as represented by the inequality: Which answer choice includes all solutions to the inequality and identifies which interval(s) contain viable completion times of machine 1?

Revolt · Accepted Answer

; only contains viable times for machine 1

Question 7

Which expression is equivalent to log3(x + 4)?

Revolt · Accepted Answer

log3 + log(x + 4)

Composition of Functions and Modeling — Unit test Answers

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