How do you find the domain of f(x) = ( 9x+8)/(-9-8x)?

1 Answer
MeneerNask
May 13, 2015

Start by finding the 'forbidden' values of x

The denominator of a fraction may not be zero, so let's see when it is:
-9-8x=0->-9=8x->x=-9/8
Answer : x!=-9/8
This forms a vertical asymptote:
graph{(9x+8)/(-9-8x) [-10, 10, -5, 5]}

Extra : as you can see, there is also a horizontal asymptote at

y=-9/8. This has to do with the range of this function

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