I need to find the inverse of this function

f(x)=9x+7

please show steps. The answer I got is not one of the multiple choices I have.
The answer I got is f^-1 (x)=1/9x-7/9

y = 9x-7

y+7 = 9x
x = (y+7)/9

so, f-1(x) = (x+7)/9

To find the inverse of a function, we start by replacing f(x) with y and then swap the variables x and y. So, let's begin:

Step 1: Replace f(x) with y:
y = 9x + 7

Step 2: Swap x and y:
x = 9y + 7

Step 3: Solve the equation for y:
x - 7 = 9y
(x - 7)/9 = y
y = (x - 7)/9

Step 4: Replace y with f^-1(x):
f^-1(x) = (x - 7)/9

Thus, the inverse of the function f(x) = 9x + 7 is f^-1(x) = (x - 7)/9.

To find the inverse of a function, you need to follow a series of steps. Let's go through the process step by step:

Step 1: Replace f(x) with y.
y = 9x + 7

Step 2: Swap x's and y's.
x = 9y + 7

Step 3: Solve the equation for y.
x - 7 = 9y
(x - 7) / 9 = y
y = (x - 7) / 9

Step 4: Replace y with f^(-1)(x) (the inverse function notation).
f^(-1)(x) = (x - 7) / 9

So, the correct inverse function of f(x) = 9x + 7 is f^(-1)(x) = (x - 7) / 9.

Please note that the answer you provided, f^(-1)(x) = 1/9x - 7/9, is incorrect. Make sure to double-check your work, as mistakes can easily happen during calculations.