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Find the inverse of the function: f(x)=3x−6

A f−1(x)=−2/3x
B f−1(x)=1/3x+2
C f−1(x)=−1/3x+12

Sagot :

Tasyha

Answer:

B. [tex] {f}^{ - 1} (x) = \frac{1}{3} x + 2[/tex]

Step-by-step explanation:

[tex]f(x) = 3x - 6[/tex]

[tex]y = 3x - 6[/tex]

[tex]x = 3y - 6[/tex]

[tex]3y - 6 = x[/tex]

[tex]3y = x + 6[/tex]

[tex]y = \frac{1}{3} x + 2[/tex]

[tex]\boxed{\green{ {f}^{ - 1} (x) = \frac{1}{3} x + 2}}[/tex]

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