Consider the function given by .

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Consider the function f:R→Rf:\mathbb R\to\mathbb R given by f(x)=3x−5f(x)=3x-5. (i) Find f−1(x)f^{-1}(x). (ii) Verify that f−1∘f=IRf^{-1}\circ f=I_{\mathbb R}.

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