9. Let f be the function from R to R defined by f (x) = x2. Finda) f −1({1}) b) f −1({x | 0 < x < 1}) c) f −1({x | x > 4})

Question

9. Let f be the function from R to R defined by f (x) = x2. Finda) f −1({1}) b) f −1({x | 0 < x < 1}) c) f −1({x | x > 4})
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Solution 1

Claro, vamos a resolver cada parte del problema paso a paso.

a) ( f^{-1}({1}) )

Primero, recordemos que ( f(x) = x^2 ). Queremos encontrar los valores de ( x ) tales que ( f(x) = 1 ).

[ x^2 = 1 ]

Resolviendo esta ecuación, obtenemos:

[ x = \pm 1 ]

Por lo tanto,

[ f^{-1}({1}) Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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