Question

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 1

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