### Home > CCA > Chapter 11 > Lesson 11.3.1 > Problem11-78

11-78.

If $f(x)=\frac{-5}{x+2}$ and $g(x)=(x−2)^3$, find each output value below (if possible). If it is not possible, explain why not. Homework Help ✎

1. $f(−2)$

Substitute $−2$ for $x$.

Is it possible to divide by $0$?

No solution.

1. $g(−1)$

Substitute $−1$ for $x$.
$(x−2)^3$
$(−1−2)^3$

$−27$

1. $g(4)$

See the help for part (b).

1. $f(−7)+g(1)$

Substitute $−7$ for $x$ in $f(x)$ and $1$ for $x$ in $g(x)$,
then add the results together.

$1+(−1)=0$

1. $f(3)−g(2)$

See the help for part (d).
The text passage contains a series of mathematical questions and their corresponding answers or explanations.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
### Home > CCA > Chapter 11 > Lesson 11.3.1 > Problem11-78

11-78.

If $f(x)=\frac{-5}{x+2}$ and $g(x)=(x−2)^3$, find each output value below (if possible). If it is not possible, explain why not. Homework Help ✎

1. $f(−2)$

Substitute $−2$ for $x$.

Is it possible to divide by $0$?

No solution.

1. $g(−1)$

Substitute $−1$ for $x$.
$(x−2)^3$
$(−1−2)^3$

$−27$

1. $g(4)$

See the help for part (b).

1. $f(−7)+g(1)$

Substitute $−7$ for $x$ in $f(x)$ and $1$ for $x$ in $g(x)$,
then add the results together.

$1+(−1)=0$

1. $f(3)−g(2)$

See the help for part (d).
user
The text passage contains a series of mathematical questions and their corresponding answers or explanations.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS