1.1.205 AP calculus exam practice question

In summary, the given values are $f(x)=x-2$ and $g(x)=\frac{x}{x^2+1}$ and we are asked to find $f(g(-2))$. To solve this, we first find $g(-2)$ by plugging in $x=-2$ into the equation for $g(x)$. This gives us $\frac{-2}{(-2)^2+1}=\frac{-2}{5}$. Then, we plug this into the equation for $f(x)$ to find $f(-2/5)$. This gives us $\frac{-2}{5}-2=\frac{-2}{5}-\frac{10}{5}=\frac{-12}{
  • #1
karush
Gold Member
MHB
3,269
5
given that
$\left[
f(x)=x-2,
\quad
g(x)=\dfrac{x}{x^2+1}\right]$
find $f(g(-2))$
(A) $\dfrac{-11}{5}$
(B) $\dfrac{-4}{17}$
(C) $-3$
(D) $\dfrac{14}{85}$
(E) $\dfrac{-12}{5}$
_____________________________________________________________________________

Solution
find $g(-2)$
$$\dfrac{-2}{(2)^2+1}
=\dfrac{-2}{5}$$
then solve $f(-2/5)$
$$\dfrac{-2}{5}-2
=\dfrac{-2}{5}-\dfrac{10}{5}
=\dfrac{-12}{5}\quad (E)$$

hopefully ok ... typos ... suggestions

is it possible to draw a horizonal line here \hline or \hrule not

also how do you use the hide/show option if you want to hide the solution
 
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  • #2
karush said:
given that
$\left[
f(x)=x-2,
\quad
g(x)=\dfrac{x}{x^2+1}\right]$
find $f(g(-2))$
(A) $\dfrac{-11}{5}$
(B) $\dfrac{-4}{17}$
(C) $-3$
(D) $\dfrac{14}{85}$
(E) $\dfrac{-12}{5}$
_____________________________________________________________________________

Solution
find $g(-2)$
$$\dfrac{-2}{({\color{red}-2})^2+1}
=\dfrac{-2}{5}$$
then solve $f(-2/5)$
$$\dfrac{-2}{5}-2
=\dfrac{-2}{5}-\dfrac{10}{5}
=\dfrac{-12}{5}\quad (E)$$

hopefully ok ... typos ... suggestions

See stuff in red - otherwise looks good. :)
karush said:
also how do you use the hide/show option if you want to hide the solution

Use [sp]...[/sp] tags.
 
  • #3
I don't see red stuff
 
  • #4
karush said:
I don't see red stuff
Put your mouse in the quote box and scroll down.

-Dan
 

FAQ: 1.1.205 AP calculus exam practice question

1. What is the purpose of the 1.1.205 AP calculus exam practice question?

The purpose of the 1.1.205 AP calculus exam practice question is to help students prepare for the AP calculus exam by providing them with a sample question that is similar to what they may encounter on the actual exam.

2. How is the 1.1.205 AP calculus exam practice question different from other practice questions?

The 1.1.205 AP calculus exam practice question is different from other practice questions because it is specifically designed to align with the content and format of the AP calculus exam. It is created by experts in the field and is meant to accurately reflect the level of difficulty and types of questions that students will encounter on the actual exam.

3. Is the 1.1.205 AP calculus exam practice question a good representation of the actual exam?

Yes, the 1.1.205 AP calculus exam practice question is a good representation of the actual exam. It is created by experts and is designed to closely mimic the format and difficulty level of the real exam. However, it is important to note that the actual exam may contain a variety of different question types and may cover a wider range of topics.

4. How can I use the 1.1.205 AP calculus exam practice question to improve my score?

You can use the 1.1.205 AP calculus exam practice question to improve your score by treating it as a realistic simulation of the actual exam. Time yourself as you would during the real exam and use it to identify your strengths and weaknesses. Then, focus on improving your understanding and skills in the areas where you struggled on the practice question.

5. Can I access multiple versions of the 1.1.205 AP calculus exam practice question?

Yes, there may be multiple versions of the 1.1.205 AP calculus exam practice question available. This can be beneficial as it allows you to practice with different variations of the question and ensures that you are well-prepared for any potential variations on the actual exam.

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