# The least value of the function f(x) = x/(4-x+x^2) on [–1, 1] is : A.-(1/4) B.-(1/3)C.-(1/6) D. 1/5 ​

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The least value of the function f(x) = $\frac{x}{4-x+x^2}$ on [–1, 1] is :

A. $-\frac{1}{4}$

B. $-\frac{1}{3}$

C. $-\frac{1}{6}$

D. $\frac{1}{5}$

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Option : (C)

⇒ 4 - x= 0

= x = ± 2 but [-1,1]

= f(-1) =$-\frac{1}{6}$