Question

f(x)=2|x|+3 then f(2)​

Answer 1

Answer:

modulus means anything positive

Step-by-step explanation:

so...

2(2) + 3 = 7

Answer 2

Answer:

0

Step-by-step explanation:

f(x)=∣x−1∣+∣x−3∣=

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

−(x−1)−(x−3),x≤1

(x−1)−(x−3),1<x≤3

x−1+(x−3),x>3

⇒f(x)=

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

4−2x,x≤1

2,1<x≤3

2x−4,x>3

∴f

′

(x)=

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

−2,x≤1

0,1<x≤3

2,x>3

Hence f

′

(2)=0