Define f : R → R and g : R → R by the rules f(x) = 3.x – 2 for all x E R and g(x)= x² +3 for all x E R. (i) Is f one-to-one? Prove or give a counterexample. (ii) Is g one-to-one? Prove or give a counterexample.

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Define f : R → R and g : R → R by the rules f(x) = 3x – 2 for all
x2 +3 for all x E R.
x E R and g(x) =
(i) Is ƒ one-to-one? Prove or give a counterexample.
(ii) Is g one-to-one? Prove or give a counterexample.
Transcribed Image Text:Define f : R → R and g : R → R by the rules f(x) = 3x – 2 for all x2 +3 for all x E R. x E R and g(x) = (i) Is ƒ one-to-one? Prove or give a counterexample. (ii) Is g one-to-one? Prove or give a counterexample.
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