Question

THE RANGE OF A FUNCTION f(x) = (7-x) p (x-3)​

Answer 1

Answer:

Correct option is

A

{1,2,3}

f(x)=

7−x

P

x−3

∴ f(x) is defined when x−3≥0

⇒x≥3 ....(1)

Again f(x)=

7−x

P

x−3

=

(10−2x)!

(7−x)!

∴ f(x) is defined when (10−2x)≥0

⇒2x≤10

⇒x≤5 ....(2)

From (1) and (2), we have

3≤x≤5

∴ Range {f(3),f(4),f(5)}

={

4

P

1

,

3

P

1

,

2

P

2

}

={1,3,2}