Question

how do i find domain and range algebraically

Answer 1

your question is a little too broad; domain is different for different function rules; range requires knowledge of the domain and the graph of the function

Answer 2

polynomial functions always have domain all real numbers
radicals must have the radicand greater than or euqal to zero
rational functions may not have any value of the domain variable that makes the denominator euqal to 0
exponential functions have domain all real numbers
log functions have only values of the domain variable that make the argument of the log strictly positve

these are the usual suspects ina algebra course

Answer 3

f(x) = (8x + 12)/ (x^2 + 5x +4)

state the domain of the function

Answer 4

All real numbers except those that make the denominator equal to 0; so we will fidn the roots of the denominator
\[x^2 + 5x +4=0\]factor\[(x+4)(x+1)=0\]Thus the roots of the denominator are x=-4 union x=-1.

The domain would be all real numbers except x=-4 and x=-1.

Answer 5

so do foil backwards? then make them eaqual zero?

Answer 6

yes, in this case. the denominator may have real roots, but not be factorable though,

Answer 7

and never worry about the numorater?

Answer 8

not with respect to domain

Answer 9

ty

Answer 10

np :})