If f: R arrow R be defined by f(x)= begincases2 x &: x3 x2 &: 1

Question

If f: R arrow R be defined by f(x)= begincases2 x &: x>3 x2 &: 1 < x ≤ 3 3 x &: x ≤ 1 endcases then f(-1)+f(2)+f(4) is (A) 5 (B) 9 (C) 10 (D) 14

Tardigrade Admin · Accepted Answer

f(-1)=3(-1)=-3 f(2)=22=4 f(4)=2(4)=8 f(-1)+f(2)+f(4) =-3+4+8=9

Q. If $f : R \to R$ be defined by
$f (x) = ⎩ ⎨ ⎧ 2 x x^{2} 3 x : : : x > 3 1 < x \leq 3 x \leq 1$
then $f (- 1) + f (2) + f (4)$ is