Find the minimum value of the function f(x)=2|x-2|+5|x-3| for all x ∈ R.

Question

Find the minimum value of the function f(x)=2|x-2|+5|x-3| for all x ∈ R. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

f(x)=2|x-2|+5|x-3| <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/cb76415c3b212cad959836622fc47cb2-.png" /> minimum value =2

Q. Find the minimum value of the function $f (x) = 2∣ x - 2∣ + 5∣ x - 3∣$ for all $x \in R$ .

$f (x) = 2∣ x - 2∣ + 5∣ x - 3∣$

minimum value $= 2$

Q. Find the minimum value of the function f(x)=2∣x−2∣+5∣x−3∣ for all x∈R.

f(x)=2∣x−2∣+5∣x−3∣ minimum value =2

Q. Find the minimum value of the function $f (x) = 2∣ x - 2∣ + 5∣ x - 3∣$ for all $x \in R$ .

$f (x) = 2∣ x - 2∣ + 5∣ x - 3∣$

minimum value $= 2$