Question

Hey can you please help me posted picture of question

Answer 1

Answer:
f⁻¹(x) =
`(x+6)/(7)`

Step-by-step explanation:
To get the inverse of a function, we will follow these steps:
1- replace f(x) with y
2- swap the x and y variables
3- solve for y
replace y with f⁻¹(x)

Applying this to the given as follows:
f(x) = 7x - 6

Step 1: replace f(x) with y:
y = 7x - 6

Step 2: swap the x and y variables:
x = 7y - 6

Step 3: solve for y:
7y = x + 6
y =
`(x+6)/(7)`

Step 4: replace y with f⁻¹(x):
f⁻¹(x) =
`(x+6)/(7)`

Hope this helps :)