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