SOLUTION: State the domain for each function. a)y=-8 b)y=3x / x(2x+1) c)y=x-1 / x^2+3x+2 d)&#8730;9-x^2 < square root is extended i) y=3 / &#8730;x^2-36

Algebra ->  Functions -> SOLUTION: State the domain for each function. a)y=-8 b)y=3x / x(2x+1) c)y=x-1 / x^2+3x+2 d)&#8730;9-x^2 < square root is extended i) y=3 / &#8730;x^2-36      Log On


   



Question 342668: State the domain for each function.
a)y=-8
b)y=3x / x(2x+1)
c)y=x-1 / x^2+3x+2
d)√9-x^2 < square root is extended
i) y=3 / √x^2-36

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) No restrictions, (-infinity,infinity)
.
.
b) All x except those that make the denominator equal zero.
Solve for two solutions: x%282x%2B1%29=0}
.
.
c) Same as b).
Solve for two solutions:x%5E2%2B3x%2B2=%28x%2B1%29%28x%2B2%29=0
.
.
d) Square root needs non-negative arguments.
Solve 9-x%5E2%3E=0 to find the domain.
.
.
e) Same as b)
Solve for two solutions:x%5E2-36=%28x%2B6%29%28x-6%29=0