How do you find the value of the expression when x=4 of $\frac{x - 3}{x^{2} - 7 x + 9}$ $(x-3)/(x^2-7x+9)$ ?

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How do you find the value of the expression when x=4 of $\frac{x - 3}{x^{2} - 7 x + 9}$ $(x-3)/(x^2-7x+9)$ ?

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Answer 1 · 2017-07-04T13:36:07

$- \frac{1}{3}$ $-1/3$

Explanation:

$to evaluate the expression$ $"to evaluate the expression"$

$substitute x = 4 into the expression for all x terms$ $"substitute x = 4 into the expression for all x terms"$

$\Rightarrow \frac{x - 3}{x^{2} - 7 x + 9}$ $rArr(x-3)/(x^2-7x+9)$

$= \frac{4 - 3}{4^{2} - (7 \times 4) + 9}$ $=(color(red)(4)-3)/(color(red)(4)^2-(7xxcolor(red)(4))+9)$

$= \frac{1}{16 - 28 + 9}$ $=1/(16-28+9)$

$= \frac{1}{- 3}$ $=1/(-3)$

$= - \frac{1}{3}$ $=-1/3$

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How do you find the value of the expression when x=4 of $\frac{x - 3}{x^{2} - 7 x + 9}$ $(x-3)/(x^2-7x+9)$ ?

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How do you find the value of the expression when x=4 of $\frac{x - 3}{x^{2} - 7 x + 9}$ $(x-3)/(x^2-7x+9)$ ?