# Thread: Points on a graph

1. ## 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

2. 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 $\displaystyle y = \frac{1}{f(x)} - 2$:

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

3. 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