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Manipulation of a linear equation

Choose the co...

Question

Choose the correct rational function for the given graphical representation.

r (x) = 3

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r (x) = \frac{x - 3}{x - 2}

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r (x) = \frac{2}{x - 3}

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r (x) = \frac{3 x - 6}{x - 2}

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Solution

The correct option is C $r (x) = \frac{3 x - 6}{x - 2}$
In the graph, the value of $x = 2, y = 3$
To form a rational function: check the option D.
$\Rightarrow \frac{3 (x - 2)}{x - 2} = 3$
So, the value of $r (x) = 3$ for the rational function $\frac{3 x - 6}{x - 2}$ .

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