# Points on a graph

• Jun 5th 2010, 02:23 PM
nuckers
Points on a graph
Can someone please show/explain to me how to do this

The point $\displaystyle (8,5)$ is on the graph of $\displaystyle y=f(x),$which point must be on the graph of $\displaystyle y=1/f(x)-2$

Thanks
• Jun 5th 2010, 02:29 PM
mr fantastic
Quote:

Originally Posted by nuckers
Can someone please show/explain to me how to do this

The point $\displaystyle (8,5)$ is on the graph of $\displaystyle y=f(x),$which point must be on the graph of $\displaystyle y=1/f(x)-2$

Thanks

The point transforms in the same way as the function transforms. Assuming you mean $\displaystyle y = \frac{1}{f(x)} - 2$:

$\displaystyle (8, 5) \longrightarrow \left(8, \frac{1}{5} \right) \longrightarrow \left(8, \frac{1}{5} - 2\right)$
• Jun 5th 2010, 02:33 PM
nuckers
Quote:

Originally Posted by mr fantastic
The point transforms in the same way as the function transforms. Assuming you mean $\displaystyle y = \frac{1}{f(x)} - 2$:

$\displaystyle (8, 5) \longrightarrow \left(8, \frac{1}{5} \right) \longrightarrow \left(8, \frac{1}{5} - 2\right)$

awesome, i get it, thanks so much