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Andrew [12]
3 years ago
12

Find f(g(3)). PLEASE HELP me asap!!!!! thank you so so much!!!! *will give brainliest*

Mathematics
1 answer:
den301095 [7]3 years ago
3 0
<h3>Answer: Choice A)  -2</h3>

=========================================================

Explanation:

Start at x = 3 on the x axis. Move up until you reach g(x), then move to the left to hit the y axis. You should arrive at y = 3.

That y value is the input to the f(x) function.

Plugging x = 3 into the f(x) function has us draw a vertical line down to f(x) and then go horizontally until we reach y = -2.

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There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model
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\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=250(1 + 0.16)^{t}\implies A=250(1.16)^t \\\\[-0.35em] ~\dotfill

A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}

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