Answer:
f⁻¹(x) = (x-3)² is the inverse of given function.
Step-by-step explanation:
We have given function:
f(x) =√x +3
W e have to find the inverse of the given function.
Let y = f(x) then
y = √x +3
First, we interchange x and y we get,
x =√y +3
then solve the above equation for y we get,
√y = (x-3)
Squaring both sides we get,
y= (x-3)²
Replacing y to f⁻¹(x) we get,
f⁻¹(x) = (x-3)² is the inverse of given function.
