Mark the correct alternative in the following question:

Question:

Mark the correct alternative in the following question:

Let $f: \mathrm{R} \rightarrow \mathrm{R}$ be defined as $f(x)=\left\{\begin{array}{c}2 x, \text { if } x>3 \\ x^{2}, \text { if } 1

Then, find f(-1) + f(2) + f(4)

(a) 9

(b) 14

(c) 5

(d) none of these

Solution:

We have,

$f(x)=\left\{\begin{array}{c}2 x, \text { if } x>3 \\ x^{2}, \text { if } 1

Now,

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

$=3(-1)+2^{2}+2(4)$

$=-3+4+8$

$=9$

Hence, the correct alternative is option (a).

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