The range of f x - x 2 -1 - x - -1 -x- is

The correct option is D R { 3 } #10; #10; #10; Interval #10; #10; #10; x lt; 1 #10; #10; #10; 1 lt;x lt;0 #10; ...

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Definition of Functions

The range of ...

Question

The range of $f (x) = \frac{x^{2} - 1}{| x | - 1} + x$ , is

R - {3}

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[0, \infty) - {3}

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R - {1, 3}

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[1, \infty) - {3}

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Solution

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f (x) = \frac{x^{2} + x + 1}{x^{2} - x + 1}, x \in R

f (x) = \frac{x + 2}{x - 3}

f (x) = \frac{x^{2} + x + 2}{x^{2} + x + 1}, x \in R

\frac{x^{2} + x + 1}{x^{2} + x - 1}

Range of the function $f (x) = \frac{x^{2} + x + 2}{x^{2} + x + 1}; x ϵ R$ is

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Interval	x<-1	-1<x<0	$0 \leq x < 1$	x>1
Function behavior	1	1	2x+1	2x+1