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bagirrra123 [75]
2 years ago
13

50 points please help i need it so bad

Mathematics
1 answer:
ki77a [65]2 years ago
6 0

Answer:

D

Step-by-step 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)=\dfrac{3-x}{7} is

f^{-1} =3-7x

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

f(x)=\dfrac{3-x}{7} \implies y= \dfrac{3-x}{7} \implies x=\dfrac{3-y}{7}

x=\dfrac{3-y}{7} \implies 7x = 3-y  \implies 7x -3 = -y   \implies -7x +3 = y  \implies f(x)=3-7x

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