Question

find range |x-3| -|x-7|​

Answer 1

Answer:

(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}

Answer 2

Answer:

Ur answer:

Step-by-step explanation:

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}

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