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50 points please help i need it so bad

50 points please help i need it so bad-example-1

1 Answer

4 votes

Answer:

D

Explanation:

Recall that for a function
f such that
f:X \to Y, where
X is the Domain and
Y is the Codomain, the function has a inverse, if and only if,
\forall y \in Y exist an unique
x\in X such that
f(x)=y.


\therefore f^(-1)(y)=x \iff f(x)=y

Therefore, the inverse of
f for
f(x)=(3-x)/(7) is


f^(-1) =3-7x

==============================================


f(x)=(3-x)/(7) \implies y= (3-x)/(7) \implies x=(3-y)/(7)


x=(3-y)/(7) \implies 7x = 3-y \implies 7x -3 = -y \implies -7x +3 = y \implies f(x)=3-7x

User Jaren
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