How do you find the domain and range of y = 3/x^2?

1 Answer
Bill Jorgensen
May 31, 2018

Domain: {x|x !=0} or (-oo, 0)uu(0,oo)

Range: {y|y>0} or (0, oo)

Explanation:

y = 3/x^2

The function is undefined if the denominator is zero, so we set it equal to 0 and solve:

x^2=0

x=+-sqrt0

x=0

So the domain is:

{x|x !=0} or (-oo, 0)uu(0,oo)

Now as x gets close to -oo or oo the function gets closer to 0 but never actually gets to 0 and as x gets very close to 0 the function grows to oo so the range is:

{y|y>0} or (0, oo)

graph{y = 3/x^2 [-10, 10, -5, 5]}

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