Let and for . The range of…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

f(x)=\begin{cases}|x|,&-3\le x\le7\\2x-7,&7<x\le10\end{cases}

and

g(x)=2x+1

for

-3\le x\le10

. The range of

f(g(x))

is (a)

[-3,10]

(b)

[0,5]

(c)

[0,13]

(d)

[-3,13]

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