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If the function f(x)=-4e^((1-x)/2)+1+x+(...

If the function `f(x)=-4e^((1-x)/2)+1+x+(x^2)/2+(x^3)/3a n dg(x)=f^(-1)(x),` then the reciprocal of `g^(prime)((-7)/6)` is_________

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We have (gof) (x)=x
`"or "g'(f(x))f'(x)=1`
`"When "f(x)=-(7)/(6), x=1`
`"or "g'(-(7)/(6))=f'(1)=1`
`"Hence, "g'(-(7)/(6))=(1)/(f'(1))=(1)/(5)`
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