Let f(x)=|x-8|. If p be the sum of all the values of x such that f(f(f(x)))=2 and q be the minimum solution of f ( f ( f ( x )))=2, then the value of ( p +4 q ) is

Question

Let f(x)=|x-8|. If p be the sum of all the values of x such that f(f(f(x)))=2 and q be the minimum solution of f ( f ( f ( x )))=2, then the value of ( p +4 q ) is (A) 8 (B) 6 (C) 4 (D) 2

Tardigrade Admin · Accepted Answer

Suppose g(x)=f(f(f(x)))-2 g(x)=|||x-8|-8|-8|-2 <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/f2f19955c4e86560def358f54fa3da7c-.png" /> p=48 &gamma;=18 β=14 α=2 ⇒ q =-10 ⇒ p +4 q =8

Q. Let $f (x) = ∣ x - 8∣$ . If $p$ be the sum of all the values of $x$ such that $f (f (f (x))) = 2$ and $q$ be the minimum solution of $f (f (f (x))) = 2$ , then the value of $(p + 4 q)$ is

8

6

4

2

Suppose
$g (x) = f (f (f (x))) - 2$
$g (x) = ∣∣∣ x - 8∣ - 8∣ - 8∣ - 2$

$p = 48$
$γ = 18$
$β = 14$
$α = 2$
$\Rightarrow q = - 10$
$\Rightarrow p + 4 q = 8$

Q. Let f(x)=∣x−8∣. If p be the sum of all the values of x such that f(f(f(x)))=2 and q be the minimum solution of f(f(f(x)))=2, then the value of (p+4q) is

8

6

4

2

Suppose g(x)=f(f(f(x)))−2 g(x)=∣∣∣x−8∣−8∣−8∣−2 p=48 γ=18 β=14 α=2 ⇒q=−10 ⇒p+4q=8

Q. Let $f (x) = ∣ x - 8∣$ . If $p$ be the sum of all the values of $x$ such that $f (f (f (x))) = 2$ and $q$ be the minimum solution of $f (f (f (x))) = 2$ , then the value of $(p + 4 q)$ is

Suppose
$g (x) = f (f (f (x))) - 2$
$g (x) = ∣∣∣ x - 8∣ - 8∣ - 8∣ - 2$

$p = 48$
$γ = 18$
$β = 14$
$α = 2$
$\Rightarrow q = - 10$
$\Rightarrow p + 4 q = 8$