Function Operations

Question 1

If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?

Revolt · Accepted Answer

12

Question 2

Which expression is equivalent to (f + g)(4)?

Revolt · Accepted Answer

f(4) + g(4)

Question 3

If and d(x) = x + 3, what is the domain of (cd)(x)?

Revolt · Accepted Answer

all real values of x except x = 2

Question 4

If p(x) = x2 – 1 and , which expression is equivalent to (p – q)(x)?

Revolt · Accepted Answer

(x2 – 1) – 5(x – 1)

Question 5

If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?

Revolt · Accepted Answer

14

Question 6

The graphs of f(x) and g(x) are shown below. Which of the following is the graph of (g – f)(x)?

Revolt · Accepted Answer

On a coordinate plane, a straight line with a positive slope goes through points (negative 2, negative 6), (0, 0), and (2, 6).

Question 7

If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to ?

Revolt · Accepted Answer

StartFraction 3 (6) minus 1 Over 2 (6) + 1 EndFraction

Question 8

If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?

Revolt · Accepted Answer

–2

Question 9

If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?

Revolt · Accepted Answer

–168

Question 10

The graphs of f(x) and g(x) are shown below. For what interval is the value of (f – g)(x) negative?

Revolt · Accepted Answer

(negative infinity, 2)

Function Operations Answers