Question

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

Answer 1

Correct Answer - 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.`