Let f - R - R be defined by f x - begin cases 2 X - - X -3 1x - 2- -1- x leq 3 3x- -N N N N N X lend cases Then f -1- f 2- f 4 isA- 9B- 14C- 10D- 5

The correct option is A 9f( 1)+f(2)+f(4) = 3( 1)+(2)^2+2·4 = 3+4+8=9 ...

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Standard XII

Mathematics

Monotonically Increasing Functions

Let f : R → R...

Question

Let $f : R \to R$ be defined by
$f (x) = ⎧ ⎨ ⎩ \begin{matrix} 2 x, x > 3 x^{2}, 1 < x \leq 3 3 x, x \leq 1 \end{matrix}$

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

9

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14

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5

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Solution

The correct option is A $9$
$f (- 1) + f (2) + f (4)$
$= 3 (- 1) + (2)^{2} + 2 \cdot 4$
$= - 3 + 4 + 8 = 9$

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Let f:R→R be defined by f(x)=⎧⎨⎩2x, x>3x2, 1<x≤33x, x≤1 Then f(−1)+f(2)+f(4) is

The correct option is A 9f(−1)+f(2)+f(4) =3(−1)+(2)2+2⋅4 =−3+4+8=9

Let $f : R \to R$ be defined by
$f (x) = ⎧ ⎨ ⎩ \begin{matrix} 2 x, x > 3 x^{2}, 1 < x \leq 3 3 x, x \leq 1 \end{matrix}$

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

The correct option is A $9$
$f (- 1) + f (2) + f (4)$
$= 3 (- 1) + (2)^{2} + 2 \cdot 4$
$= - 3 + 4 + 8 = 9$