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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.

If `h(x)=|f(x)-(3)/(2)|` has range [e, f] and n be number of real solutions of `h(x)=(1)/(4), " then " (n+e+2f)` is

A

8

B

9

C

10

D

11

Text Solution

Verified by Experts

The correct Answer is:
D

Range of `h(x)=[0, (7)/(2)]`
Number of solutions of `h(x)=(1)/(4) " is " n=4.`
` :. (n+e+2f)=4+0+7=11.`
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