For the questions below, enter your answers using interval notation. you can use "u" to represent a "union", e.g. enter "(1,2) u (3,5)" for ( 1 , 2 ) ∪ ( 3 , 5 ) . you can enter "oo" for ∞ , e.g. enter "(-oo, oo)" for ( − ∞ , ∞ ) .suppose  f(x)=2x2+4what is the domain of  fwhat is the range of  f? suppose  g(x)=√x−3/x−8what is the domain of  g? what is the range of  g?

1) Given that

We find that this is a parabola with vertex at (0.4) open up.

x can take any real value.

So domain of f = (-∞,∞)

Since open up with vertex at (0,4) y cannot take values <4

Range = [4,∞)

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2)

Because x is in denominator x cannot equal 0

Also first term is square root of x.  Hence x can be only positive

So domain is [0,∞)

When x increases y also increases indefinitely.

Hence range = (-∞,∞)