Question

What is the range of (7 - x) p ( x - 3)

Answer 1

The given function f(x) = ^7-xP_x-3 would be defined if
(i) 7 - x > 0 ⇒ x < 7
(ii) x - 3 > 0 ⇒ x > 3
(iii) (x - 3) < (7 - x)
⇒ 2x < 10 ⇒ x < 5
⇒ x = 3, 4, 5
Hence Range of f(x) = {⁴P₀, ³P₁, ²P₂}
Range of f(x) = {1, 3, 2}

Answer 2

The given function f(x) = 7-xPx-3 would be defined if (i) 7 - x > 0 ⇒ x < 7 (ii) x - 3 > 0 ⇒ x > 3 (iii) (x - 3) < (7 - x) ⇒ 2x < 10 ⇒ x < 5 ⇒ x = 3, 4, 5 Hence Range of f(x) = {4P0, 3P1, 2P2} Range of f(x) = {1, 3, 2}Read more on Sarthaks.com - https://www.sarthaks.com/985160/what-is-the-range-of-7-x-p-x-3