Question:
The range of the function $f\left(x\right) = ^{7-x}P_{x-3}$ is
The range of the function $f\left(x\right) = ^{7-x}P_{x-3}$ is
Updated On: Jul 5, 2022
- {1, 2, 3}
- {1, 2, 3, 4, 5}
- {1, 2, 3, 4}
- {1, 2, 3, 4, 5, 6}
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The Correct Option is A
Solution and Explanation
$f\left(x\right) = \,^{7-x}P_{x-3}$
$7 - x \ge 0 \quad? \quad x \le 7$
$x - 3 \ge 0 \quad ?\quad x \ge 3 ,$
and $7 - x \ge x - 3 \quad ? \quad x \le 5$
$? 3 \le x \le 5? x = 3, 4, 5 ?$ Range is $1, 2, 3.$
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