gaokao 2010 Q8

gaokao · China · shanghai-science Composite & Inverse Functions Find or Apply an Inverse Function Formula

8. For any positive number $a$ not equal to 1, the graph of the inverse function of $f ( x ) = \log _ { a } ( x + 3 )$ always passes through point $P$. Then the coordinates of point $P$ are $\_\_\_\_$ $(0, -2)$
Analysis: The graph of $f ( x ) = \log _ { a } ( x + 3 )$ passes through the fixed point $( - 2,0 )$, so the graph of its inverse function passes through the fixed point $( 0 , - 2 )$

(5 points) If the flowchart shown is executed with input $N = 5$, then the output number equals

8. For any positive number $a$ not equal to 1, the graph of the inverse function of $f ( x ) = \log _ { a } ( x + 3 )$ always passes through point $P$. Then the coordinates of point $P$ are $\_\_\_\_$ $(0, -2)$

Analysis: The graph of $f ( x ) = \log _ { a } ( x + 3 )$ passes through the fixed point $( - 2,0 )$, so the graph of its inverse function passes through the fixed point $( 0 , - 2 )$\\

Paper Questions

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