Let f : R R be defined as f ( x ) = { 2 x , if x 3 x 2 , if 1 x 3 3 x , if x 1 . Then f ( - 1 ) + f ( 2 ) + f ( 4 ) =

Question

Let $f : R \to R$ be defined as $f (x) =$ ${\begin{matrix} 2 x, & if x > 3 \\ x^{2}, & if 1 < x \leq 3 \\ 3 x, & if x \leq 1 \end{matrix}$ $.$

Then $f (- 1) + f (2) + f (4) =$

Smart Achievers · Accepted Answer

(1)

Ans. 9

Explanation:

$f (x) =$

$f (2) = {(2)}^{2} = 4$

$f (4) = 2 \times 4 = 8$

$\Rightarrow$ $f (- 1) + f (2) + f (4) = - 3 + 4 + 8 = 9$

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