How do you find the inverse of g( x ) = 6x + 7?

1 Answer
Jun 4, 2017

Answer: g'(x)=x/6-7/6

Explanation:

Find inverse of g(x)=6x+7

To find the inverse of any function, we flip the x and the y in the original function. Here, the g(x) is functionally a y variable.
So:
x=6y+7

Now we solve for y as for a normal function:
x-7=6y

y=x/6-7/6

We can write the inverse function using the following notation:
g'(x)=x/6-7/6