Answer:
f⁻¹(x) = [tex] \frac{x+6}{7} [/tex]
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 = [tex] \frac{x+6}{7} [/tex]
Step 4: replace y with f⁻¹(x):
f⁻¹(x) = [tex] \frac{x+6}{7} [/tex]
Hope this helps :)
