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Determine whether these functions are invertible. Find inverses of the invertible functions.
(a) f(x) = x−2.
(b) f(x) = x^{2}, where x ∈ R.
(c) f(x) = x^{2}, where x ∈ (2, 5).
(d) f(x) = x^{3}.



Answer :

b) is not invertible, while the others are.
a) The inverse is x+2
c) The inverse is [tex]\sqrt{x}[/tex]
d) The inverse is [tex]\sqrt[3]{x}[/tex]