Solution:
If \( f(g(x)) = x \) and \( g(f(x)) = x \), then \( g(x) \) is the inverse of \( f(x) \). Given \( g'(x) f'(x) = 1 \), it follows that \( g'(f(x)) = \frac{1}{f'(x)} \).
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| Matrices and Determinants_mathematics |
MathematicsIf f(g(x))=x and g(f(x))=x then g(x) is the inverse of f(x)⋅g′(x)f′(x)=1⇒g′(f(x))=1f′(x)
If and then is the inverse of
