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If f(x) = 7x-6, which of the following is the inverse of f(x)?

O A. f-(x) = **?
O B. f-1(x) = *16
O c. -1(x) = *=6
O D. f-1(x) = *=?

User Tomasz
by
7.9k points

1 Answer

1 vote

Answer:


f^(-1)(x) =
(x+6)/(7)

Explanation:

Let y = f(x) and rearrange making x the subject, that is

y = 7x - 6 ( add 6 to both sides )

y + 6 = 7x ( divide both sides by 7 )

x =
(y+6)/(7)

Change y back into terms of x, hence


f^(-1)(x) =
(x+6)/(7)

User Canato
by
7.8k points

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