Find the inverse of the function. f (x) = 7x - 1

To find the inverse swap the x and y values ...

f (x) = 7x - 1

Start by replacing f (x) by ... y

y = 7x - 1

Now swap both x and y values ...

x = 7y - 1

Solve for x ...

x = 7y - 1

+1 + 1

x + 1 = 7 y

Divide both sides by 7

x / 7 + 1/7 = y

Now that we have our inverse you using the f (x) inverse notation ...

which is ... f (x) ^-1

So the inverse of this function is ... f (x) ^-1 = x/7 + 1/7