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Consider a function f whose domain is [-...

Consider a function f whose domain is [-3, 4] and range is [-2, 2] with following graph.

Domain and range of `g(x)=f(|x|)` is [a, b] and [c, d] respectively, then `(b-a+c+d)` is

A

11

B

10

C

8

D

7

Text Solution

Verified by Experts

The correct Answer is:
A
`-3 le |x| le 4`

`implies 0 le |x| le 4`
`implies -4 le x le 4`
`implies " Domain of " g=[-4, 4]`
` :. (b-a) =8`
Also range of `g(x) =" is " [1, 2], (c + d)=3`
` :. (b-a+c+d)=11.`
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