Answered

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Please help. Functions and relations. f(x) = 6x + 4. find the inverse of f(x)

Please Help Functions And Relations Fx 6x 4 Find The Inverse Of Fx class=

Sagot :

Explanation

We must find the inverse function of the line given by:

[tex]y=f(x)=6x+4.[/tex]

(1) First, we find the value of x in terms of y:

[tex]\begin{gathered} y=6x+4, \\ 6x=y-4, \\ x=\frac{y-4}{6}. \end{gathered}[/tex]

(2) We interchange the variables x and y:

[tex]y=\frac{x-4}{6}.[/tex]

The equation obtained is the inverse of f(x):

[tex]f^{-1}(x)=\frac{x-4}{6}.[/tex]Answer

D.

[tex]f^{-1}(x)=\frac{x-4}{6}.[/tex]
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