Question

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) = *=?

Answer 1

Answer:

$f^{-1}$(x) = $\frac{x+6}{7}$

Step-by-step 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 = $\frac{y+6}{7}$

Change y back into terms of x, hence

$f^{-1}$(x) = $\frac{x+6}{7}$