let f:xR-{0} to R define by f(x)=1/x^2 for all x belongs to R -{0} find it's domain and range and draw it's graph
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Doman=R,Range=(−∞,2]
Given f(x)=2−∣x−5∣
Domain of f(x) is defined for all real values of x.
Since, ∣x−5∣≥0⟹−∣x−5∣≤0
⟹2−∣x−5∣≤2⟹f(x)≤2
Hence, range of f(x) is (−∞,2].
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