Find the inverse of the function f(x)=2(x-4)^2
1 answer:
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Answer:
f⁻¹(x) =
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) =
Step 1: replace f(x) with y:
y =
Step 2: swap the x and y variables:
x =
Step 3: solve for y:
7x = 4y - 3
4y = 7x - 3
y =
Step 4: replace y with f⁻¹(x):
f⁻¹(x) =
Hope this helps :)
f⁻¹(x) =
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) =
Step 1: replace f(x) with y:
y =
Step 2: swap the x and y variables:
x =
Step 3: solve for y:
7x = 4y - 3
4y = 7x - 3
y =
Step 4: replace y with f⁻¹(x):
f⁻¹(x) =
Hope this helps :)