The-function-of-f-and-g-are-defined-by-f-g-x-bx-2-x-2-b-and-b-0-where-a-and-b-are-real-numbers-g-x-2x-11-a-If-f-2-1-2-and-f-1-1-1-find-a-and-b-and-write-down-the-express

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Question Number 85500 by oustmuchiya@gmail.com last updated on 22/Mar/20

$$Thefunctionof\mathbf{f}and\mathbf{g}aredefinedby\mathbf{f}:\mathbf{g}\to \frac{x}{\mathbf{b}x-2},x\ne \frac{2}{\mathbf{b}}and\mathbf{b}\ne 0,where\mathbf{a}and\mathbf{b}arerealnumbers\mathbf{g}:\mathbf{x}\to 2x-11$$$$\left(a\right)If\mathbf{f}\left(2\right)=\frac{-1}{2}and{\mathbf{f}}^{-1}\left(1\right)=-1,find\mathbf{a}and\mathbf{b}andwritedowntheexpressionfor\mathbf{f}intermsof\mathbf{x}$$$$\left(\mathbf{b}\right)\mathbf{F}indthevalueof\mathbf{x}forwhich\mathbf{fg}\left(\mathbf{x}\right)=\frac{-1}{2}$$

Answered by john santu last updated on 22/Mar/20

$$nothingainyourquestion$$

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