Answer:
f − 1 ( x ) = √ x + 5 , − √ x + 5
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y
Answer:
f⁻¹(x) = ±√x + 5
Step-by-step explanation:
We have given a function.
f(x) = (x-5)²
We have to find the inverse of given function.
Putting y = f(x) in given equation, we have
y = (x-5)²
Taking square root to both sides of above equation, we have
±√y = x-5
x = ±√y + 5
Putting x = f⁻¹(y) in above equation,we have
f⁻¹(y) = ±√y + 5
Replace y with x , we have
f⁻¹(x) = ±√x + 5 which is the answer.
