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Question Number 24744 by NECx last updated on 25/Nov/17

$$Ifafunctionfisdefinedsuchthat$$$$f:\mathbb{R}\to \mathbb{R}.If$$$$f\left(x\right)=\frac{3x-2}{x^2+5x-6}.Findthe$$$$\left(i\right)domainoff\left(x\right)$$$$\left(ii\right)rangeoff\left(x\right)$$

Answered by ajfour last updated on 25/Nov/17

$$f\left(x\right)=\frac{3(x-\frac{2}{3})}{(x+6)(x-1)}$$$$\Rightarrow x\in (-\mathrm{\infty },-6)\cup (-6,1)\cup (1,\mathrm{\infty })$$$$Range\in (-\mathrm{\infty },\mathrm{\infty }).$$

Commented by NECx last updated on 25/Nov/17

$$thanksboss$$

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