algebra help?

Question

FIND THE DOMAIN OF EACH FUNCTION

f(x)=x2power+2

f(x)=x2power
over x2power +1

h(x)=2x
over x2power -4

G(x) =x+4
over x3power -4x

G(x)=square root 1-x

f(x)=x
line under x
square root x-4

Answer 1

Sandy, to save time and aggrevation, please use the carat (^) to show powers, sqrt(crap) to indicate the square root of crap and the slant (/) to show division, making sure that the denominator is enclosed in ( ) if it more than a monomial.

x^2+2 domain is over all real numbers
So is the second one.
This function "blows up" at x= +/- 2, so they are excluded from the domain -inf The others will work pretty much as the one above. Check the denominator for "blow up"points or regions. They must be excluded from the domain of all real numbers.