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# confuzled

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The function $f(x)$ is defined for $1 \le x \le 5$ as follows: $f(x) = \left\{ \begin{array}{cl} 2x + 1 & \text{if }1 \le x \le 2, \\ 7 - x & \text{if }2 < x \le 3, \\ 10 - 2x & \text{if }3 < x \le 4, \\ 10 - x & \text{if }4 < x \le 5. \end{array}\right.$ Find all real numbers $x$ such that $f(x) = x$.  If you find more than one answer, list them all, separated by commas.

Aug 28, 2017

#1
+21244
+2

The function f(x) is defined for $$1 \le x \le 5$$ as follows:
$$\left[f(x) = \left\{ \begin{array}{cl} 2x + 1 & \text{if }1 \le x \le 2, \\ 7 - x & \text{if }2 < x \le 3, \\ 10 - 2x & \text{if }3 < x \le 4, \\ 10 - x & \text{if }4 < x \le 5. \end{array} \right. \right]$$

Find all real numbers x such that f(x) = x.
If you find more than one answer, list them all, separated by commas.

$$x = \{ \frac{10}{3}, 5 \}$$

Aug 28, 2017

#1
+21244
+2

The function f(x) is defined for $$1 \le x \le 5$$ as follows:
$$\left[f(x) = \left\{ \begin{array}{cl} 2x + 1 & \text{if }1 \le x \le 2, \\ 7 - x & \text{if }2 < x \le 3, \\ 10 - 2x & \text{if }3 < x \le 4, \\ 10 - x & \text{if }4 < x \le 5. \end{array} \right. \right]$$

Find all real numbers x such that f(x) = x.
If you find more than one answer, list them all, separated by commas.

$$x = \{ \frac{10}{3}, 5 \}$$

heureka Aug 28, 2017