Reciprocal of a Linear Function

• Oct 12th 2011, 06:47 PM
Dragon08
Reciprocal of a Linear Function
Determine the equation in the form f(x)=1/(kx-c) for the function with a vertical asymptote at x=-1 and a y-intercept at -0.25.

I don't get how you get k or c.
• Oct 12th 2011, 06:53 PM
Quacky
Re: Reciprocal of a Linear Function
The y intercept is where $x=0$.

The asymptote is a point the graph will tend towards but never reach. When will a value for $f(x)$ not exist for $x=-1$? Hint: Consider the denominator.
• Oct 12th 2011, 07:51 PM
Dragon08
Re: Reciprocal of a Linear Function
I got c=4 and k=-4, but so is the answer 1/(-4x-4)?
• Oct 12th 2011, 08:00 PM
Quacky
Re: Reciprocal of a Linear Function
Quote:

Originally Posted by Dragon08
I got c=4 and k=-4, but so is the answer 1/(-4x-4)?

Looks good! You can always plot the function here to check.
• Oct 13th 2011, 12:12 PM
Dragon08
Re: Reciprocal of a Linear Function
Okay, thank you!