Question 1

Given the functions f(x) = $x^2$ and g(x) = 3x + 2, what is the result of (f ∘ g)(x)?

Accepted Answer

9x^2 + 12x + 4

Answer

9x^2 + 12x + 4

Answer

9x^2 + 12x + 4

Answer

9x^2 + 12x + 4

Question 2

Given the functions f(x) = 3x - 1 and h(x) = 4x + 5, find (h ∘ f)(x).

Accepted Answer

9x^2 + 12x + 4

Answer

9x^2 + 12x + 4

Answer

9x^2 + 12x + 4

Answer

9x^2 + 12x + 4

Question 3

For the piecewise function

k(x) = \begin{cases} 3x + 1 & 	ext{if } x < -1  \  -2x + 2 & 	ext{if } x \geq -1 \end{cases}

, what is

k(-2)

?

Accepted Answer

-5

Answer

4

Answer

7

Answer

0

Question 4

If you have the functions

k(x) = \begin{cases} 3x + 1 & 	ext{if } x < -1  \  -2x + 2 & 	ext{if } x \geq -1 \end{cases}

and

k(-2)

, what is the result of

p(q(x))

?

Accepted Answer

2x + 5

Answer

2(x + 5)

Answer

x + 10

Answer

x + 7

Question 5

Given the functions

k(x) = \begin{cases} 3x + 1 & 	ext{if } x < -1  \  -2x + 2 & 	ext{if } x \geq -1 \end{cases}

and

k(-2)

, what is the result of the difference

p(q(x))

?

Accepted Answer

4x - 6

Answer

2x - 2

Answer

4x + 2

Answer

3x + 2 - x

Question 6

If

k(x) = \begin{cases} 3x + 1 & 	ext{if } x < -1  \  -2x + 2 & 	ext{if } x \geq -1 \end{cases}

and

k(-2)

, what is

p(q(x))

?

Accepted Answer

9x^2 + 12x + 4

Answer

9x^2 + 12x + 4

Answer

9x^2 + 12x + 4

Answer

9x^2 + 12x + 4

Question 7

If

k(x) = \begin{cases} 3x + 1 & 	ext{if } x < -1  \  -2x + 2 & 	ext{if } x \geq -1 \end{cases}

and

k(-2)

, what is

p(q(x))

?

Accepted Answer

9x^2 + 12x + 4

Answer

9x^2 + 12x + 4

Answer

9x^2 + 12x + 4

Answer

9x^2 + 12x + 4

Question 8

In the given graph&#44; what type of discontinuity occurs at x = -8?

Accepted Answer

removable discontinuity

Answer

jump discontinuity

Answer

no discontinuity

Answer

infinite discontinuity

Related quizzes