SOLUTION: s(x) = 2x − 4 over x^2 + x − 2 State the domain and range. (Enter your answers using interval notation.)

Question 1023119: s(x) = 2x − 4 over x^2 + x − 2
State the domain and range. (Enter your answers using interval notation.)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!

==> Domain of s(x) is (, -2)u(-2,1)u(1,).
To find the range of s(x), let
==>
==> , a quadratic equation in x with coefficients in terms of y. For such expression to have real roots, the discriminant

<==>
<==> .
The solution to this inequality is the union (, 2/9]u[2, ) .
Incidentally this is also the range of s(x).
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SOLUTION: s(x) = 2x &#8722; 4 over x^2 + x &#8722; 2 State the domain and range. (Enter your answers using interval notation.)

SOLUTION: s(x) = 2x − 4 over x^2 + x − 2 State the domain and range. (Enter your answers using interval notation.)