Function Operations Answers

0 verified answers1 views
1
Free Preview

Which expression is equivalent to (st)(6)?

A
s(t(6))
B
s(x) × t(6)
C
s(6) × t(6)
D
6 × s(x) × t(x)
2
Free Preview

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

Question illustration
A
The leading coefficients of f(x) and g(x) are opposites.
B
The leading coefficients of f(x) and g(x) are opposite reciprocals.
C
The leading coefficients of f(x) and g(x) are the same.
D
The leading coefficients of f(x) and g(x) are reciprocals.
4

Which expression is equivalent to ?

Question illustration
A
f (5) times g (5)
Option A
B
f (5) + g (5)
Option B
C
5 f (5)
Option C
D
5 g (5)
Option D
6

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

Question illustration
A
all real values of x
B
all real values of x except x = 2
C
all real values of x except x = –3
D
all real values of x except x = 2 and x = –3
7

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

A
f(4) + g(4)
B
f(x) + g(4)
C
f(4 + g(4))
D
4(f(x) + g(x))
8

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

Question illustration
A
On a coordinate plane, a straight line with a negative slope goes through points (negative 2, 6), (0, 0), and (2, negative 6)
Option A
B
On a coordinate plane, a straight line with a negative slope goes through points (negative 6, 6), (0, 0), and (6, negative 6).
Option B
C
On a coordinate plane, a straight line with a positive slope goes through points (negative 2, negative 6), (0, 0), and (2, 6).
Option C
D
On a coordinate plane, a straight line with a positive slope goes through points (negative 6, negative 6), (0, 0), and (6, 6).
Option D
9

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

A
6 – 3 – (4 + 3)2
B
6 – 3 – (4 – 32)
C
6(3) – 4 + 32
D
6(3) – 4 – 32

Did you find these answers helpful?