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MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Suppose f:x↦2x−x2f:x\mapsto2x-x^2 and g:x↦1+3xg:x\mapsto1+3x. (1) (a) Find in simplest form: (i) (f∘g)(x)(f\circ g)(x) (ii) (g∘f)(x)(g\circ f)(x) (2) (b) Find the value of xx such that (f∘g)(x)=3(g∘f)(x)(f\circ g)(x)=3(g\circ f)(x).

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