For the following rational expressions, perform the indicated operation and simplify the result:
a) ył-1 y-1
__________ ______
y˛ + y - 6 divided by 3+y
b) are there any restrictions on the variable y?
Hey guys i need help on how to do this, i have no idea where to start
Hi Cockchestner007,
Invert the divisor and multiply.
The "restrictions of the variable" means "what would y have to be to make the denominator of either fraction zero?"
Those restrictions would be: y cannot be -3, 2, or 1
Simplifying we arrive at:
The only restriction after simplification is y cannot be 2.
If we were talking about rational functions, this would be a vertical asymptote.
The other two restrictions would be points of discontinuity on the graph.
But, this may be too much information since these are only expressions.