the domain is (-∞,-100)U(100,∞)
Since f(x) = 1/x^2, the range is the same on both those intervals. So, R = (0,1/100^2)
if the domain is (-0.1,0.1) then f(0) is undefined. The range is thus (1/0.1^2,∞) since f(x) is symmetric about x=0.
Let f:{x: IxI > 100} => R, f(x) = 1/x^2. State the range of f.
Let f:{x: IxI < 0.1} => R, f(x) = 1/x^2. State the range of f.
*R = real numbers
How do you find the two ranges? I know it sounds embarrassing but I am struggling to work out the range. Can you please show your working?
Answer to (a) is [0, 1/(10^4)]
Answer to (b) is [100, infinity]
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