Question

Hey can you please help me posted picture of question

Answer 1

Answer:
f⁻¹(x) =
`(7x-3)/(4)`

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

Applying this to the given as follows:
f(x) =
`(4x-3)/(7)`

Step 1: replace f(x) with y:
y =
`(4x-3)/(7)`

Step 2: swap the x and y variables:
x =
`(4y-3)/(7)`

Step 3: solve for y:
7x = 4y - 3
4y = 7x - 3
y =
`(7x-3)/(4)`

Step 4: replace y with f⁻¹(x):
f⁻¹(x) =
`(7x-3)/(4)`

Hope this helps :)