Function Operations

Question 1

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

Revolt · Accepted Answer

6(3) – 4 + 32

Question 2

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)

Question 3

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

Revolt · Accepted Answer

14

Question 4

If and , what is the value of (f – g)(144)?

Revolt · Accepted Answer

0

Question 5

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 6

If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true?

Revolt · Accepted Answer

The leading coefficients of f(x) and g(x) are opposites.

Question 7

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 8

Which expression is equivalent to ?

Revolt · Accepted Answer

f (5) times g (5)

Question 9

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 10

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

Revolt · Accepted Answer

all real values of x except x = 2

Function Operations Answers