Least integer in the range of f(x)=(x + 4)(1 - x) - _2 x is - Vidyadip

MCQ

Least integer in the range of $f(x)$=$\sqrt {(x + 4)(1 - x)} - {\log _2}x$ is

A
$-2$
B
$-1$
✓
$0$
D
$1$

✓

Answer

Correct option: C.

$0$

c
$f(x)=\sqrt{(x+4)(1-x)}+\log _{1 / 2} x$

$\because$ $'f'$ is decreasing

minimum value is $f(1)=0.$

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