Which one of the following sets is a possible domain for the function with rule f(x)=(x+3)2−6𝑓(𝑥)=(𝑥+3)2−6 if the inverse function is to exist?

Question

Which one of the following sets is a possible domain for the function with rule f(x)=(x+3)2−6𝑓(𝑥)=(𝑥+3)2−6 if the inverse function is to exist?
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Solution 1

Para que la función ( f(x) = (x + 3)^2 - 6 ) tenga una función inversa, debe ser biyectiva, es decir, inyectiva y sobreyectiva. Esto significa que cada valor de ( y ) en el rango de ( f ) debe corresponder a un único valor de ( x ) en el dominio de ( f ).

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