find the domain and range of 3/2-x^2

the given function is : y=f(x)=32-x2
since denominator can not be zero:
if 2-x2=0x2=2x=±2
therefore domain is R-{-2,2}
for range:
y=32-x22y-x2y=3x2y=2y-3x2=2y-3y
since square of any number is positive:
2y-3y0y(-,0)[32,)
hope this helps you.
 

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