Choose the correct answer from the given four options. Let f: R R… - Vidyadip

MCQ

Choose the correct answer from the given four options. Let $f: R \rightarrow R$ be defined by $\text{f}(\text{x})=\begin{cases}2\text{x}:\text{x}>3\\\text{x}^2:1<\text{x}\leq3\\3\text{x}:\text{x}\leq1\end{cases}$ Then $f(-1) + f(2) + f(4)$ is:

✓
$9$
B
$14$
C
$5$
D
None of these.

✓

Answer

Correct option: A.

$9$

We are given that, $\text{f}(\text{x})=\begin{cases}2\text{x}:\text{x}>3\\\text{x}^2:1<\text{x}\leq3\\3\text{x}:\text{x}\leq1\end{cases}$
Now, $f(-1)+f(2)+f(4)=3(-1)+(2)^2+2 \times 4$
$=-3+4+8$
$=9$

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