Difference between revisions of "008A Sample Final A, Question 2"
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(Created page with "'''Question:''' Find f(5) for f(x) given in problem 1. Note: The function f(x) from problem 1 is: <math>f(x) = \log_3(x+3)-1</math> {| class="mw-collapsible mw-collapsed" s...") |
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| − | '''Question:''' Find f(5) for f(x) | + | '''Question:''' Find f(5) for <math>f(x) = \log_3(x) - 1</math>, which is the function from problem 1. |
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Revision as of 22:57, 22 May 2015
Question: Find f(5) for Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle f(x)=\log _{3}(x)-1} , which is the function from problem 1.
| Foundations |
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| How would you find f(5) if f(x) = 2x + 1 instead? |
| Answer: we replace every occurrence of x with a 5. So |
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Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{array}{rcl}f(5)&=&2(5)+1\\&=&11\end{array}}} |
Solution:
| Step 1: |
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| Replace any occurrence of x by 5, so |
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Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{array}{rcl}f(5)&=&\log _{3}(5+3)-1\\&=&\log _{3}(8)-1\end{array}}} |
| Final Answer: |
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| Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \log _{3}(8)-1} |