If , where , , and are non-zero real constants and , find…

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If

h(x)=ax^3+b\sin x+c\ln\left(\frac{1+x}{1-x}\right)+7

, where

a

,

b

, and

c

are non-zero real constants and

h\left(-\frac{1}{2}\right)=6

, find

h\left(\frac{\operatorname{sgn}(e^{-x})}{2}\right)

.

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