contestada

Find the inverse of the function: f(x)=−14x+4
A f−1(x)=−4x+16
B f−1(x)=−12x+2
C f−1(x)=4x+16
D f−1(x)=12x+1

Respuesta :

BasketballEinstein

Answer:

[tex]\displaystyle f^{-1}(x) = -\frac{x}{14} + \frac{2}{7}[/tex]

Step-by-step explanation:

It is neither of these. To find the inverce, interchange the variables, then solve for y:

[tex]\displaystyle x = -14y + 4 \hookrightarrow \frac{x - 4}{-14} = \frac{-14y}{-14} \\ \\ f^{-1}(x) = -\frac{x}{14} + \frac{2}{7}[/tex]

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