Range of the function f(x)= 7-x Px-3, is

Question

Range of the function f(x)= 7-x Px-3, is (A) 1,2,3,4,5 (B) 1,2,3 (C) 1,2 (D) 1,2,3,4

Tardigrade Admin · Accepted Answer

(As f(x)= 7-x Px-3 is defined only for positive integer values of x satisfying 7-x > 0, x-3 > 0 and x-3 < 7-x or x=3,4,5 Range (f)= f(3), f(4), f(5) = 4 P0, 3 P1, 2 P2 = 1 , 2,3

Q. Range of the function $f (x) =^{7 - x} P_{x - 3}$ , is

{1,2,3,4,5}

{1,2,3}

{1,2}

{1,2,3,4}

{1}

(As $f (x) =^{7 - x} P_{x - 3}$ is defined only for positive integer values of $x$ satisfying
$7 - x > 0, x - 3 > 0$ and $x - 3 < 7 - x$ or $x = 3, 4, 5$
Range $(f) = {f (3), f (4), f (5)}$
$= {^{4} P_{0},^{3} P_{1},^{2} P_{2}} = {1, 2, 3}$

Q. Range of the function f(x)=7−xPx−3​, is